456423390 has 64 divisors (see below), whose sum is σ = 1223449920. Its totient is φ = 121080960.

The previous prime is 456423389. The next prime is 456423419. The reversal of 456423390 is 93324654.

456423390 is a `hidden beast` number, since 4 + 5 + 642 + 3 + 3 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48900 + ... + 57480.

It is an arithmetic number, because the mean of its divisors is an integer number (19116405).

Almost surely, 2^456423390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456423390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611724960).

456423390 is an abundant number, since it is smaller than the sum of its proper divisors (767026530).

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

456423390 is a wasteful number, since it uses less digits than its factorization.

456423390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8794 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 456423390 is about 21364.0677306547. The cubic root of 456423390 is about 769.9383714098.

The spelling of 456423390 in words is "four hundred fifty-six million, four hundred twenty-three thousand, three hundred ninety".