404379360 has 432 divisors, whose sum is σ = 1754533872. Its totient is φ = 83865600.

The previous prime is 404379319. The next prime is 404379373. The reversal of 404379360 is 63973404.

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 71 ways as a sum of consecutive naturals, for example, 775900 + ... + 776420.

It is an arithmetic number, because the mean of its divisors is an integer number (4061421).

Almost surely, 2^404379360 is an apocalyptic number.

404379360 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 404379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877266936).

404379360 is an abundant number, since it is smaller than the sum of its proper divisors (1350154512).

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

404379360 is a wasteful number, since it uses less digits than its factorization.

404379360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 404379360 is about 20109.1859606499. The cubic root of 404379360 is about 739.4854957815.

The spelling of 404379360 in words is "four hundred four million, three hundred seventy-nine thousand, three hundred sixty".