456362640 has 160 divisors (see below), whose sum is σ = 1599004800. Its totient is φ = 119600640.

The previous prime is 456362633. The next prime is 456362651. The reversal of 456362640 is 46263654.

456362640 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 6 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 456362595 and 456362604.

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 31 ways as a sum of consecutive naturals, for example, 125650 + ... + 129230.

It is an arithmetic number, because the mean of its divisors is an integer number (9993780).

Almost surely, 2^456362640 is an apocalyptic number.

456362640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799502400).

456362640 is an abundant number, since it is smaller than the sum of its proper divisors (1142642160).

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

456362640 is a wasteful number, since it uses less digits than its factorization.

456362640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 456362640 is about 21362.6459035392. The cubic root of 456362640 is about 769.9042102688.

The spelling of 456362640 in words is "four hundred fifty-six million, three hundred sixty-two thousand, six hundred forty".