463792 has 40 divisors (see below), whose sum is σ = 1062432. Its totient is φ = 192000.

The previous prime is 463787. The next prime is 463807. The reversal of 463792 is 297364.

It is an unprimeable number.

463792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4542 + ... + 4642.

2⁴⁶³⁷⁹² 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 463792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531216).

463792 is an abundant number, since it is smaller than the sum of its proper divisors (598640).

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

463792 is a wasteful number, since it uses less digits than its factorization.

463792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 463792 is about 681.0227602658. The cubic root of 463792 is about 77.4059629465.

Subtracting from 463792 its sum of digits (31), we obtain a square (463761 = 681²).

The spelling of 463792 in words is "four hundred sixty-three thousand, seven hundred ninety-two".