463736832 has 104 divisors (see below), whose sum is σ = 1332053184. Its totient is φ = 142639104.

The previous prime is 463736831. The next prime is 463736837. The reversal of 463736832 is 238637364.

It is a tau number, because it is divible by the number of its divisors (104).

It is not an unprimeable number, because it can be changed into a prime (463736831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158293 + ... + 161195.

Almost surely, 2^463736832 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 463736832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666026592).

463736832 is an abundant number, since it is smaller than the sum of its proper divisors (868316352).

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

463736832 is a wasteful number, since it uses less digits than its factorization.

463736832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2921 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 463736832 is about 21534.5497282855. The cubic root of 463736832 is about 774.0289368158.

It can be divided in two parts, 463736 and 832, that multiplied together give a cube (385828352 = 728³).

The spelling of 463736832 in words is "four hundred sixty-three million, seven hundred thirty-six thousand, eight hundred thirty-two".