404255040 has 224 divisors, whose sum is σ = 1502054400. Its totient is φ = 90187776.

The previous prime is 404255021. The next prime is 404255101. The reversal of 404255040 is 40552404.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 404255040.

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, 288261 + ... + 289659.

It is an arithmetic number, because the mean of its divisors is an integer number (6705600).

Almost surely, 2^404255040 is an apocalyptic number.

404255040 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 404255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751027200).

404255040 is an abundant number, since it is smaller than the sum of its proper divisors (1097799360).

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

404255040 is a wasteful number, since it uses less digits than its factorization.

404255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 404255040 is about 20106.0945984047. The cubic root of 404255040 is about 739.4097069978.

The spelling of 404255040 in words is "four hundred four million, two hundred fifty-five thousand, forty".