404572896 has 288 divisors, whose sum is σ = 1452971520. Its totient is φ = 103928832.

The previous prime is 404572891. The next prime is 404572937. The reversal of 404572896 is 698275404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404572891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1126765 + ... + 1127123.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2^404572896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404572896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726485760).

404572896 is an abundant number, since it is smaller than the sum of its proper divisors (1048398624).

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

404572896 is a wasteful number, since it uses less digits than its factorization.

404572896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 404572896 is about 20113.9975141691. The cubic root of 404572896 is about 739.6034495754.

The spelling of 404572896 in words is "four hundred four million, five hundred seventy-two thousand, eight hundred ninety-six".