462523032972 has 576 divisors, whose sum is σ = 1612367877120. Its totient is φ = 107905996800.

The previous prime is 462523032943. The next prime is 462523032991. The reversal of 462523032972 is 279230325264.

462523032972 is a `hidden beast` number, since 4 + 6 + 2 + 52 + 303 + 297 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 652359354 + ... + 652360062.

Almost surely, 2^462523032972 is an apocalyptic number.

462523032972 is a gapful number since it is divisible by the number (42) 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 462523032972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806183938560).

462523032972 is an abundant number, since it is smaller than the sum of its proper divisors (1149844844148).

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

462523032972 is a wasteful number, since it uses less digits than its factorization.

462523032972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 462523032972 in words is "four hundred sixty-two billion, five hundred twenty-three million, thirty-two thousand, nine hundred seventy-two".