404796000 has 384 divisors, whose sum is σ = 1559900160. Its totient is φ = 89856000.

The previous prime is 404795999. The next prime is 404796011. The reversal of 404796000 is 697404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5123961 + ... + 5124039.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^404796000 is an apocalyptic number.

404796000 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 404796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

404796000 is an abundant number, since it is smaller than the sum of its proper divisors (1155104160).

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

404796000 is a wasteful number, since it uses less digits than its factorization.

404796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 404796000 is about 20119.5427383427. The cubic root of 404796000 is about 739.7393774203.

The spelling of 404796000 in words is "four hundred four million, seven hundred ninety-six thousand".