408797088 has 96 divisors (see below), whose sum is σ = 1237864320. Its totient is φ = 115706880.

The previous prime is 408797063. The next prime is 408797089. The reversal of 408797088 is 880797804.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×408797088³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 408797088.

It is not an unprimeable number, because it can be changed into a prime (408797089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70458 + ... + 76038.

It is an arithmetic number, because the mean of its divisors is an integer number (12894420).

Almost surely, 2^408797088 is an apocalyptic number.

408797088 is a gapful number since it is divisible by the number (48) 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 408797088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618932160).

408797088 is an abundant number, since it is smaller than the sum of its proper divisors (829067232).

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

408797088 is a wasteful number, since it uses less digits than its factorization.

408797088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5710 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 408797088 is about 20218.7311174564. The cubic root of 408797088 is about 742.1686371861.

The spelling of 408797088 in words is "four hundred eight million, seven hundred ninety-seven thousand, eighty-eight".