404740800 has 294 divisors, whose sum is σ = 1497493068. Its totient is φ = 107619840.

The previous prime is 404740799. The next prime is 404740837. The reversal of 404740800 is 8047404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1166227 + ... + 1166573.

Almost surely, 2^404740800 is an apocalyptic number.

404740800 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 404740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748746534).

404740800 is an abundant number, since it is smaller than the sum of its proper divisors (1092752268).

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

404740800 is an equidigital number, since it uses as much as digits as its factorization.

404740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 404740800 is about 20118.1708910129. The cubic root of 404740800 is about 739.7057510424.

The spelling of 404740800 in words is "four hundred four million, seven hundred forty thousand, eight hundred".