463873872 has 80 divisors (see below), whose sum is σ = 1494047232. Its totient is φ = 120485760.

The previous prime is 463873841. The next prime is 463873903. The reversal of 463873872 is 278378364.

It is an interprime number because it is at equal distance from previous prime (463873841) and next prime (463873903).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 59058 + ... + 66449.

Almost surely, 2^463873872 is an apocalyptic number.

463873872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

463873872 is an abundant number, since it is smaller than the sum of its proper divisors (1030173360).

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

463873872 is a wasteful number, since it uses less digits than its factorization.

463873872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125536 (or 125530 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 463873872 is about 21537.7313568537. The cubic root of 463873872 is about 774.1051743650.

The spelling of 463873872 in words is "four hundred sixty-three million, eight hundred seventy-three thousand, eight hundred seventy-two".