462525968 has 40 divisors (see below), whose sum is σ = 946070400. Its totient is φ = 218450304.

The previous prime is 462525967. The next prime is 462525971. The reversal of 462525968 is 869525264.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (462525967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111353 + ... + 115431.

It is an arithmetic number, because the mean of its divisors is an integer number (23651760).

Almost surely, 2^462525968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462525968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473035200).

462525968 is an abundant number, since it is smaller than the sum of its proper divisors (483544432).

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

462525968 is a wasteful number, since it uses less digits than its factorization.

462525968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479 (or 4473 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 47.

The square root of 462525968 is about 21506.4169028688. The cubic root of 462525968 is about 773.3546601993.

The spelling of 462525968 in words is "four hundred sixty-two million, five hundred twenty-five thousand, nine hundred sixty-eight".