404880000 has 320 divisors, whose sum is σ = 1542256320. Its totient is φ = 92160000.

The previous prime is 404879989. The next prime is 404880001. The reversal of 404880000 is 88404.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (404880001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679880 + ... + 1680120.

It is an arithmetic number, because the mean of its divisors is an integer number (4819551).

Almost surely, 2^404880000 is an apocalyptic number.

404880000 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 404880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771128160).

404880000 is an abundant number, since it is smaller than the sum of its proper divisors (1137376320).

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

404880000 is an equidigital number, since it uses as much as digits as its factorization.

404880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 404880000 is about 20121.6301526492. The cubic root of 404880000 is about 739.7905421305.

It can be divided in two parts, 4048 and 80000, that added together give a palindrome (84048).

The spelling of 404880000 in words is "four hundred four million, eight hundred eighty thousand".