404874720 has 384 divisors, whose sum is σ = 1551312000. Its totient is φ = 98205696.

The previous prime is 404874707. The next prime is 404874739. The reversal of 404874720 is 27478404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2717206 + ... + 2717354.

It is an arithmetic number, because the mean of its divisors is an integer number (4039875).

Almost surely, 2^404874720 is an apocalyptic number.

404874720 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 404874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775656000).

404874720 is an abundant number, since it is smaller than the sum of its proper divisors (1146437280).

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

404874720 is a wasteful number, since it uses less digits than its factorization.

404874720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 404874720 is about 20121.4989501279. The cubic root of 404874720 is about 739.7873262715.

The spelling of 404874720 in words is "four hundred four million, eight hundred seventy-four thousand, seven hundred twenty".