462072960 has 96 divisors (see below), whose sum is σ = 1595615580. Its totient is φ = 123217920.

The previous prime is 462072943. The next prime is 462072997. The reversal of 462072960 is 69270264.

It is a happy number.

462072960 is a `hidden beast` number, since 4 + 620 + 7 + 29 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 459330624 + 2742336 = 21432^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×462072960² = 427022840726323200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34351 + ... + 45870.

Almost surely, 2^462072960 is an apocalyptic number.

462072960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462072960 is an abundant number, since it is smaller than the sum of its proper divisors (1133542620).

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

462072960 is a wasteful number, since it uses less digits than its factorization.

462072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80246 (or 80231 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 462072960 is about 21495.8823964033. The cubic root of 462072960 is about 773.1020975974.

The spelling of 462072960 in words is "four hundred sixty-two million, seventy-two thousand, nine hundred sixty".