456422004 has 72 divisors (see below), whose sum is σ = 1188794880. Its totient is φ = 147561600.

The previous prime is 456422003. The next prime is 456422017. The reversal of 456422004 is 400224654.

456422004 is a `hidden beast` number, since 456 + 4 + 2 + 200 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456422003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281107 + ... + 282725.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2^456422004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456422004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

456422004 is an abundant number, since it is smaller than the sum of its proper divisors (732372876).

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

456422004 is a wasteful number, since it uses less digits than its factorization.

456422004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 456422004 is about 21364.0352929871. The cubic root of 456422004 is about 769.9375920635.

Adding to 456422004 its reverse (400224654), we get a palindrome (856646658).

The spelling of 456422004 in words is "four hundred fifty-six million, four hundred twenty-two thousand, four".