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467052480 = 2634537487
BaseRepresentation
bin11011110101101…
…010011111000000
31012112211201120000
4123311222133000
51424031134410
6114202320000
714400611016
oct3365523700
91175751500
10467052480
1121a703494
121104b9000
13759ba61b
144605a8b6
152b00adc0
hex1bd6a7c0

467052480 has 280 divisors, whose sum is σ = 1709793888. Its totient is φ = 120932352.

The previous prime is 467052463. The next prime is 467052493. The reversal of 467052480 is 84250764.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 958797 + ... + 959283.

Almost surely, 2467052480 is an apocalyptic number.

467052480 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 467052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854896944).

467052480 is an abundant number, since it is smaller than the sum of its proper divisors (1242741408).

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

467052480 is a wasteful number, since it uses less digits than its factorization.

467052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 467052480 is about 21611.3969932534. The cubic root of 467052480 is about 775.8692875099.

The spelling of 467052480 in words is "four hundred sixty-seven million, fifty-two thousand, four hundred eighty".