463072792 has 192 divisors, whose sum is σ = 1188311040. Its totient is φ = 164505600.

The previous prime is 463072789. The next prime is 463072829. The reversal of 463072792 is 297270364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6522117 + ... + 6522187.

It is an arithmetic number, because the mean of its divisors is an integer number (6189120).

Almost surely, 2^463072792 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 463072792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594155520).

463072792 is an abundant number, since it is smaller than the sum of its proper divisors (725238248).

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

463072792 is a wasteful number, since it uses less digits than its factorization.

463072792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 463072792 is about 21519.1261904381. The cubic root of 463072792 is about 773.6593078465.

The spelling of 463072792 in words is "four hundred sixty-three million, seventy-two thousand, seven hundred ninety-two".