456921404 has 48 divisors (see below), whose sum is σ = 857558016. Its totient is φ = 212520000.

The previous prime is 456921401. The next prime is 456921407. The reversal of 456921404 is 404129654.

It is an interprime number because it is at equal distance from previous prime (456921401) and next prime (456921407).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456921401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085114 + ... + 1085534.

It is an arithmetic number, because the mean of its divisors is an integer number (17865792).

Almost surely, 2^456921404 is an apocalyptic number.

It is an amenable number.

456921404 is a deficient number, since it is larger than the sum of its proper divisors (400636612).

456921404 is a wasteful number, since it uses less digits than its factorization.

456921404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 456921404 is about 21375.7199644831. The cubic root of 456921404 is about 770.2183020772.

The spelling of 456921404 in words is "four hundred fifty-six million, nine hundred twenty-one thousand, four hundred four".