404978400 has 144 divisors (see below), whose sum is σ = 1464750000. Its totient is φ = 107988480.

The previous prime is 404978381. The next prime is 404978449. The reversal of 404978400 is 4879404.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12226 + ... + 30974.

It is an arithmetic number, because the mean of its divisors is an integer number (10171875).

Almost surely, 2^404978400 is an apocalyptic number.

404978400 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 404978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732375000).

404978400 is an abundant number, since it is smaller than the sum of its proper divisors (1059771600).

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

404978400 is a wasteful number, since it uses less digits than its factorization.

404978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18778 (or 18759 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 404978400 is about 20124.0751340279. The cubic root of 404978400 is about 739.8504689342.

The spelling of 404978400 in words is "four hundred four million, nine hundred seventy-eight thousand, four hundred".