404745600 has 384 divisors, whose sum is σ = 1608825600. Its totient is φ = 87367680.

The previous prime is 404745589. The next prime is 404745629. The reversal of 404745600 is 6547404.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276642 + ... + 1276958.

It is an arithmetic number, because the mean of its divisors is an integer number (4189650).

Almost surely, 2^404745600 is an apocalyptic number.

404745600 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 404745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804412800).

404745600 is an abundant number, since it is smaller than the sum of its proper divisors (1204080000).

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

404745600 is a wasteful number, since it uses less digits than its factorization.

404745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 404745600 is about 20118.2901857986. The cubic root of 404745600 is about 739.7086751966.

The spelling of 404745600 in words is "four hundred four million, seven hundred forty-five thousand, six hundred".