463776432 has 80 divisors (see below), whose sum is σ = 1373340672. Its totient is φ = 132111360.

The previous prime is 463776407. The next prime is 463776433. The reversal of 463776432 is 234677364.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (463776433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121432 + ... + 125192.

Almost surely, 2^463776432 is an apocalyptic number.

463776432 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 463776432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686670336).

463776432 is an abundant number, since it is smaller than the sum of its proper divisors (909564240).

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

463776432 is a wasteful number, since it uses less digits than its factorization.

463776432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4140 counting only the distinct ones).

The product of its digits is 508032, while the sum is 42.

The square root of 463776432 is about 21535.4691613626. The cubic root of 463776432 is about 774.0509684736.

The spelling of 463776432 in words is "four hundred sixty-three million, seven hundred seventy-six thousand, four hundred thirty-two".