404010000 has 225 divisors, whose sum is σ = 1434283851. Its totient is φ = 106128000.

The previous prime is 404009953. The next prime is 404010001. The reversal of 404010000 is 10404.

404010000 = 1³ + 2³ + ... + 200³.

The square root of 404010000 is 20100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 31674384 + 372335616 = 5628^2 + 19296^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 (404010001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6029967 + ... + 6030033.

Almost surely, 2^404010000 is an apocalyptic number.

404010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

404010000 is the 20100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404010000

404010000 is an abundant number, since it is smaller than the sum of its proper divisors (1030273851).

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

404010000 is an equidigital number, since it uses as much as digits as its factorization.

404010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The cubic root of 404010000 is about 739.2602785780.

Multiplying 404010000 by its product of nonzero digits (16), we get a square (6464160000 = 80400²).

404010000 divided by its product of nonzero digits (16) gives a square (25250625 = 5025²).

Adding to 404010000 its reverse (10404), we get a palindrome (404020404).

Multiplying 404010000 by its reverse (10404), we get a square (4203320040000 = 2050200²).

The spelling of 404010000 in words is "four hundred four million, ten thousand".