404645400 has 144 divisors (see below), whose sum is σ = 1392332760. Its totient is φ = 105254400.

The previous prime is 404645393. The next prime is 404645447. The reversal of 404645400 is 4546404.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71059 + ... + 76541.

Almost surely, 2^404645400 is an apocalyptic number.

404645400 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 404645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696166380).

404645400 is an abundant number, since it is smaller than the sum of its proper divisors (987687360).

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

404645400 is a wasteful number, since it uses less digits than its factorization.

404645400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 404645400 is about 20115.7997603874. The cubic root of 404645400 is about 739.6476286804.

The spelling of 404645400 in words is "four hundred four million, six hundred forty-five thousand, four hundred".