456374520 has 512 divisors, whose sum is σ = 1903564800. Its totient is φ = 94887936.

The previous prime is 456374497. The next prime is 456374531. The reversal of 456374520 is 25473654.

456374520 is a `hidden beast` number, since 4 + 5 + 63 + 74 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6811527 + ... + 6811593.

It is an arithmetic number, because the mean of its divisors is an integer number (3717900).

Almost surely, 2^456374520 is an apocalyptic number.

456374520 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 456374520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951782400).

456374520 is an abundant number, since it is smaller than the sum of its proper divisors (1447190280).

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

456374520 is a wasteful number, since it uses less digits than its factorization.

456374520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 456374520 is about 21362.9239571740. The cubic root of 456374520 is about 769.9108909081.

The spelling of 456374520 in words is "four hundred fifty-six million, three hundred seventy-four thousand, five hundred twenty".