463742832 has 160 divisors (see below), whose sum is σ = 1410624000. Its totient is φ = 128553984.

The previous prime is 463742827. The next prime is 463742921. The reversal of 463742832 is 238247364.

463742832 is nontrivially palindromic in base 13.

It is a nude number because it is divisible by every one of its digits.

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, 2953698 + ... + 2953854.

It is an arithmetic number, because the mean of its divisors is an integer number (8816400).

Almost surely, 2^463742832 is an apocalyptic number.

463742832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463742832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705312000).

463742832 is an abundant number, since it is smaller than the sum of its proper divisors (946881168).

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

463742832 is a wasteful number, since it uses less digits than its factorization.

463742832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 463742832 is about 21534.6890388508. The cubic root of 463742832 is about 774.0322750264.

The spelling of 463742832 in words is "four hundred sixty-three million, seven hundred forty-two thousand, eight hundred thirty-two".