463523904 has 224 divisors, whose sum is σ = 1492300800. Its totient is φ = 140451840.

The previous prime is 463523881. The next prime is 463523923. The reversal of 463523904 is 409325364.

463523904 is a `hidden beast` number, since 46 + 3 + 523 + 90 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910402 + ... + 910910.

Almost surely, 2^463523904 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 463523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746150400).

463523904 is an abundant number, since it is smaller than the sum of its proper divisors (1028776896).

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

463523904 is a wasteful number, since it uses less digits than its factorization.

463523904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 463523904 is about 21529.6052913192. The cubic root of 463523904 is about 773.9104517517.

The spelling of 463523904 in words is "four hundred sixty-three million, five hundred twenty-three thousand, nine hundred four".