462563504 has 40 divisors (see below), whose sum is σ = 968167200. Its totient is φ = 212825088.

The previous prime is 462563501. The next prime is 462563533. The reversal of 462563504 is 405365264.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (462563501) 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, 66797 + ... + 73395.

It is an arithmetic number, because the mean of its divisors is an integer number (24204180).

Almost surely, 2^462563504 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 462563504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484083600).

462563504 is an abundant number, since it is smaller than the sum of its proper divisors (505603696).

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

462563504 is a wasteful number, since it uses less digits than its factorization.

462563504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6957 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 462563504 is about 21507.2895549393. The cubic root of 462563504 is about 773.3755800015.

The spelling of 462563504 in words is "four hundred sixty-two million, five hundred sixty-three thousand, five hundred four".