404712000 has 672 divisors, whose sum is σ = 1829677824. Its totient is φ = 82944000.

The previous prime is 404711981. The next prime is 404712041. The reversal of 404712000 is 217404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5543964 + ... + 5544036.

Almost surely, 2^404712000 is an apocalyptic number.

404712000 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 404712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914838912).

404712000 is an abundant number, since it is smaller than the sum of its proper divisors (1424965824).

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

404712000 is a wasteful number, since it uses less digits than its factorization.

404712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 404712000 is about 20117.4551074434. The cubic root of 404712000 is about 739.6882056315.

Adding to 404712000 its reverse (217404), we get a palindrome (404929404).

The spelling of 404712000 in words is "four hundred four million, seven hundred twelve thousand".