463137864 has 128 divisors (see below), whose sum is σ = 1377530880. Its totient is φ = 127008000.

The previous prime is 463137827. The next prime is 463137877. The reversal of 463137864 is 468731364.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440139 + ... + 441189.

It is an arithmetic number, because the mean of its divisors is an integer number (10761960).

Almost surely, 2^463137864 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 463137864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688765440).

463137864 is an abundant number, since it is smaller than the sum of its proper divisors (914393016).

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

463137864 is a wasteful number, since it uses less digits than its factorization.

463137864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1167 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 463137864 is about 21520.6380946291. The cubic root of 463137864 is about 773.6955449143.

The spelling of 463137864 in words is "four hundred sixty-three million, one hundred thirty-seven thousand, eight hundred sixty-four".