404307072 has 128 divisors (see below), whose sum is σ = 1285200000. Its totient is φ = 124388352.

The previous prime is 404307049. The next prime is 404307089. The reversal of 404307072 is 270703404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 40429 + ... + 49427.

It is an arithmetic number, because the mean of its divisors is an integer number (10040625).

Almost surely, 2^404307072 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 404307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642600000).

404307072 is an abundant number, since it is smaller than the sum of its proper divisors (880892928).

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

404307072 is a wasteful number, since it uses less digits than its factorization.

404307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9035 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 404307072 is about 20107.3884927904. The cubic root of 404307072 is about 739.4414289815.

The spelling of 404307072 in words is "four hundred four million, three hundred seven thousand, seventy-two".