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466323480 = 23345729709
BaseRepresentation
bin11011110010111…
…000100000011000
31012111110200120000
4123302320200120
51423334322410
6114134533000
714361453450
oct3362704030
91174420500
10466323480
1121a255807
12110207160
13757c386c
1445d0ad60
152ae14dc0
hex1bcb8818

466323480 has 320 divisors, whose sum is σ = 1855656000. Its totient is φ = 102767616.

The previous prime is 466323457. The next prime is 466323497. The reversal of 466323480 is 84323664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 657366 + ... + 658074.

It is an arithmetic number, because the mean of its divisors is an integer number (5798925).

Almost surely, 2466323480 is an apocalyptic number.

466323480 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 466323480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927828000).

466323480 is an abundant number, since it is smaller than the sum of its proper divisors (1389332520).

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

466323480 is a wasteful number, since it uses less digits than its factorization.

466323480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 466323480 is about 21594.5243059439. The cubic root of 466323480 is about 775.4654048146.

The spelling of 466323480 in words is "four hundred sixty-six million, three hundred twenty-three thousand, four hundred eighty".