404460724725 has 72 divisors (see below), whose sum is σ = 750442984200. Its totient is φ = 208086067200.

The previous prime is 404460724673. The next prime is 404460724727. The reversal of 404460724725 is 527427064404.

It can be written as a sum of positive squares in 12 ways, for example, as 179838757476 + 224621967249 = 424074^2 + 473943^2 .

It is not a de Polignac number, because 404460724725 - 2⁷ = 404460724597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404460724727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 574711 + ... + 1067339.

It is an arithmetic number, because the mean of its divisors is an integer number (10422819225).

Almost surely, 2^404460724725 is an apocalyptic number.

404460724725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404460724725 is a deficient number, since it is larger than the sum of its proper divisors (345982259475).

404460724725 is a wasteful number, since it uses less digits than its factorization.

404460724725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492775 (or 492767 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 404460724725 in words is "four hundred four billion, four hundred sixty million, seven hundred twenty-four thousand, seven hundred twenty-five".