404744704 has 240 divisors, whose sum is σ = 1087383528. Its totient is φ = 148635648.

The previous prime is 404744671. The next prime is 404744713. The reversal of 404744704 is 407447404.

It can be written as a sum of positive squares in 4 ways, for example, as 341510400 + 63234304 = 18480^2 + 7952^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 404744704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5544412 + ... + 5544484.

Almost surely, 2^404744704 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 404744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543691764).

404744704 is an abundant number, since it is smaller than the sum of its proper divisors (682638824).

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

404744704 is a wasteful number, since it uses less digits than its factorization.

404744704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 34.

The square root of 404744704 is about 20118.2679174923. The cubic root of 404744704 is about 739.7081293563.

The spelling of 404744704 in words is "four hundred four million, seven hundred forty-four thousand, seven hundred four".