463391136 has 144 divisors (see below), whose sum is σ = 1443110760. Its totient is φ = 140175360.

The previous prime is 463391113. The next prime is 463391183. The reversal of 463391136 is 631193364.

463391136 is a `hidden beast` number, since 4 + 633 + 9 + 1 + 13 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 340181136 + 123210000 = 18444^2 + 11100^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 463391136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227370 + ... + 229398.

Almost surely, 2^463391136 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 463391136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721555380).

463391136 is an abundant number, since it is smaller than the sum of its proper divisors (979719624).

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

463391136 is a wasteful number, since it uses less digits than its factorization.

463391136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2108 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 463391136 is about 21526.5216883732. The cubic root of 463391136 is about 773.8365538334.

The spelling of 463391136 in words is "four hundred sixty-three million, three hundred ninety-one thousand, one hundred thirty-six".