464753280 has 64 divisors (see below), whose sum is σ = 1481407200. Its totient is φ = 123933696.

The previous prime is 464753279. The next prime is 464753297. The reversal of 464753280 is 82357464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×464753280² = 431991222541516800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119110 + ... + 122949.

Almost surely, 2^464753280 is an apocalyptic number.

464753280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464753280 is an abundant number, since it is smaller than the sum of its proper divisors (1016653920).

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

464753280 is a wasteful number, since it uses less digits than its factorization.

464753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242081 (or 242069 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 464753280 is about 21558.1372108074. The cubic root of 464753280 is about 774.5940461521.

The spelling of 464753280 in words is "four hundred sixty-four million, seven hundred fifty-three thousand, two hundred eighty".