404072720 has 80 divisors (see below), whose sum is σ = 971669952. Its totient is φ = 156172800.

The previous prime is 404072719. The next prime is 404072731. The reversal of 404072720 is 27270404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 404072720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346859 + ... + 348021.

Almost surely, 2^404072720 is an apocalyptic number.

404072720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485834976).

404072720 is an abundant number, since it is smaller than the sum of its proper divisors (567597232).

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

404072720 is a wasteful number, since it uses less digits than its factorization.

404072720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 404072720 is about 20101.5601384569. The cubic root of 404072720 is about 739.2985317611.

The spelling of 404072720 in words is "four hundred four million, seventy-two thousand, seven hundred twenty".