404052000 has 192 divisors, whose sum is σ = 1444480128. Its totient is φ = 97920000.

The previous prime is 404051969. The next prime is 404052023. The reversal of 404052000 is 250404.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 130470 + ... + 133530.

It is an arithmetic number, because the mean of its divisors is an integer number (7523334).

Almost surely, 2^404052000 is an apocalyptic number.

404052000 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 404052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722240064).

404052000 is an abundant number, since it is smaller than the sum of its proper divisors (1040428128).

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

404052000 is a wasteful number, since it uses less digits than its factorization.

404052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 404052000 is about 20101.0447489677. The cubic root of 404052000 is about 739.2858949867.

The spelling of 404052000 in words is "four hundred four million, fifty-two thousand".