456407052740 has 24 divisors (see below), whose sum is σ = 958509562752. Its totient is φ = 182552392160.

The previous prime is 456407052727. The next prime is 456407052749. The reversal of 456407052740 is 47250704654.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 456407052691 and 456407052700.

It is not an unprimeable number, because it can be changed into a prime (456407052749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287996 + ... + 997875.

It is an arithmetic number, because the mean of its divisors is an integer number (39937898448).

Almost surely, 2^456407052740 is an apocalyptic number.

It is an amenable number.

456407052740 is an abundant number, since it is smaller than the sum of its proper divisors (502102510012).

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

456407052740 is a wasteful number, since it uses less digits than its factorization.

456407052740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303627 (or 1303625 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

The spelling of 456407052740 in words is "four hundred fifty-six billion, four hundred seven million, fifty-two thousand, seven hundred forty".