462525120 has 448 divisors, whose sum is σ = 1790760960. Its totient is φ = 111919104.

The previous prime is 462525097. The next prime is 462525127. The reversal of 462525120 is 21525264.

462525120 is a `hidden beast` number, since 4 + 625 + 25 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462525127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6903327 + ... + 6903393.

Almost surely, 2^462525120 is an apocalyptic number.

462525120 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 462525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895380480).

462525120 is an abundant number, since it is smaller than the sum of its proper divisors (1328235840).

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

462525120 is a wasteful number, since it uses less digits than its factorization.

462525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 462525120 is about 21506.3971878137. The cubic root of 462525120 is about 773.3541875734.

The spelling of 462525120 in words is "four hundred sixty-two million, five hundred twenty-five thousand, one hundred twenty".