4406504400 has 90 divisors (see below), whose sum is σ = 15291806790. Its totient is φ = 1175066880.

The previous prime is 4406504371. The next prime is 4406504413. The reversal of 4406504400 is 44056044.

4406504400 is a `hidden beast` number, since 4 + 4 + 0 + 650 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15586704 + 4390917696 = 3948^2 + 66264^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 608415 + ... + 615614.

Almost surely, 2^4406504400 is an apocalyptic number.

4406504400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4406504400 is an abundant number, since it is smaller than the sum of its proper divisors (10885302390).

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

4406504400 is a wasteful number, since it uses less digits than its factorization.

4406504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224053 (or 1224039 counting only the distinct ones).

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

The square root of 4406504400 is about 66381.5064607606. The cubic root of 4406504400 is about 1639.4495971750.

The spelling of 4406504400 in words is "four billion, four hundred six million, five hundred four thousand, four hundred".