456815240 has 48 divisors (see below), whose sum is σ = 1195649100. Its totient is φ = 156621696.

The previous prime is 456815201. The next prime is 456815243. The reversal of 456815240 is 42518654.

It can be written as a sum of positive squares in 2 ways, for example, as 434555716 + 22259524 = 20846^2 + 4718^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 456815240.

It is not an unprimeable number, because it can be changed into a prime (456815243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114575 + ... + 118494.

Almost surely, 2^456815240 is an apocalyptic number.

456815240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456815240 is an abundant number, since it is smaller than the sum of its proper divisors (738833860).

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

456815240 is a wasteful number, since it uses less digits than its factorization.

456815240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233094 (or 233083 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 456815240 is about 21373.2365354431. The cubic root of 456815240 is about 770.1586449977.

The spelling of 456815240 in words is "four hundred fifty-six million, eight hundred fifteen thousand, two hundred forty".