404371968 has 320 divisors, whose sum is σ = 1451907072. Its totient is φ = 96583680.

The previous prime is 404371949. The next prime is 404371999. The reversal of 404371968 is 869173404.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537405 + ... + 1537667.

Almost surely, 2^404371968 is an apocalyptic number.

404371968 is a gapful number since it is divisible by the number (48) 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 404371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725953536).

404371968 is an abundant number, since it is smaller than the sum of its proper divisors (1047535104).

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

404371968 is a wasteful number, since it uses less digits than its factorization.

404371968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 404371968 is about 20109.0021632104. The cubic root of 404371968 is about 739.4809898557.

The spelling of 404371968 in words is "four hundred four million, three hundred seventy-one thousand, nine hundred sixty-eight".