404290400 has 72 divisors (see below), whose sum is σ = 999623520. Its totient is φ = 159644160.

The previous prime is 404290391. The next prime is 404290409. The reversal of 404290400 is 4092404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (404290391) and next prime (404290409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404290409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 60002 + ... + 66398.

It is an arithmetic number, because the mean of its divisors is an integer number (13883660).

Almost surely, 2^404290400 is an apocalyptic number.

404290400 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 404290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499811760).

404290400 is an abundant number, since it is smaller than the sum of its proper divisors (595333120).

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

404290400 is a wasteful number, since it uses less digits than its factorization.

404290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 404290400 is about 20106.9739145402. The cubic root of 404290400 is about 739.4312649768.

The spelling of 404290400 in words is "four hundred four million, two hundred ninety thousand, four hundred".