463292352 has 224 divisors, whose sum is σ = 1458163200. Its totient is φ = 143824896.

The previous prime is 463292339. The next prime is 463292393. The reversal of 463292352 is 253292364.

It is a happy number.

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, 3381628 + ... + 3381764.

Almost surely, 2^463292352 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 463292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729081600).

463292352 is an abundant number, since it is smaller than the sum of its proper divisors (994870848).

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

463292352 is a wasteful number, since it uses less digits than its factorization.

463292352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

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

The square root of 463292352 is about 21524.2270941374. The cubic root of 463292352 is about 773.7815620588.

The spelling of 463292352 in words is "four hundred sixty-three million, two hundred ninety-two thousand, three hundred fifty-two".