462551328 has 36 divisors (see below), whose sum is σ = 1315381158. Its totient is φ = 154183680.

The previous prime is 462551291. The next prime is 462551329. The reversal of 462551328 is 823155264.

462551328 is a `hidden beast` number, since 4 + 625 + 5 + 1 + 3 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 363588624 + 98962704 = 19068^2 + 9948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 462551292 and 462551301.

It is not an unprimeable number, because it can be changed into a prime (462551329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 802753 + ... + 803328.

Almost surely, 2^462551328 is an apocalyptic number.

462551328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

462551328 is an abundant number, since it is smaller than the sum of its proper divisors (852829830).

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

462551328 is a wasteful number, since it uses less digits than its factorization.

462551328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606097 (or 1606086 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 462551328 is about 21507.0064862593. The cubic root of 462551328 is about 773.3687941197.

The spelling of 462551328 in words is "four hundred sixty-two million, five hundred fifty-one thousand, three hundred twenty-eight".