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466246240 = 2553378647
BaseRepresentation
bin11011110010100…
…101101001100000
31012111022202121021
4123302211221200
51423324334430
6114133135224
714361012325
oct3362455140
91174282537
10466246240
1121a202779
1211018a514
1375797665
1445ccab4c
152adec07a
hex1bca5a60

466246240 has 48 divisors (see below), whose sum is σ = 1104903072. Its totient is φ = 185923584.

The previous prime is 466246237. The next prime is 466246273. The reversal of 466246240 is 42642664.

It is a junction number, because it is equal to n+sod(n) for n = 466246196 and 466246205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49597 + ... + 58243.

It is an arithmetic number, because the mean of its divisors is an integer number (23018814).

Almost surely, 2466246240 is an apocalyptic number.

466246240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552451536).

466246240 is an abundant number, since it is smaller than the sum of its proper divisors (638656832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466246240 is a wasteful number, since it uses less digits than its factorization.

466246240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8999 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 466246240 is about 21592.7358155469. The cubic root of 466246240 is about 775.4225874302.

The spelling of 466246240 in words is "four hundred sixty-six million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 337 674 1348 1685 2696 3370 5392 6740 8647 10784 13480 17294 26960 34588 43235 53920 69176 86470 138352 172940 276704 345880 691760 1383520 2914039 5828078 11656156 14570195 23312312 29140390 46624624 58280780 93249248 116561560 233123120 466246240