463732000 has 48 divisors (see below), whose sum is σ = 1139399352. Its totient is φ = 185491200.

The previous prime is 463731997. The next prime is 463732013. The reversal of 463732000 is 237364.

It can be written as a sum of positive squares in 4 ways, for example, as 52940176 + 410791824 = 7276^2 + 20268^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53967 + ... + 61966.

Almost surely, 2^463732000 is an apocalyptic number.

463732000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463732000 is an abundant number, since it is smaller than the sum of its proper divisors (675667352).

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

463732000 is a wasteful number, since it uses less digits than its factorization.

463732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115958 (or 115940 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 463732000 is about 21534.4375361884. The cubic root of 463732000 is about 774.0262484227.

Adding to 463732000 its reverse (237364), we get a palindrome (463969364).

The spelling of 463732000 in words is "four hundred sixty-three million, seven hundred thirty-two thousand".