463263264 has 72 divisors (see below), whose sum is σ = 1349571132. Its totient is φ = 150650880.

The previous prime is 463263253. The next prime is 463263271. The reversal of 463263264 is 462362364.

463263264 is a `hidden beast` number, since 4 + 6 + 326 + 326 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 321843600 + 141419664 = 17940^2 + 11892^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×463263264² = 429225703543867392, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7809 + ... + 31424.

Almost surely, 2^463263264 is an apocalyptic number.

It is an amenable number.

463263264 is an abundant number, since it is smaller than the sum of its proper divisors (886307868).

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

463263264 is a wasteful number, since it uses less digits than its factorization.

463263264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39290 (or 39279 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 463263264 is about 21523.5513798258. The cubic root of 463263264 is about 773.7653676559.

It can be divided in two parts, 4632 and 63264, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 463263264 in words is "four hundred sixty-three million, two hundred sixty-three thousand, two hundred sixty-four".