410400088 has 48 divisors (see below), whose sum is σ = 899802000. Its totient is φ = 174968640.

The previous prime is 410400079. The next prime is 410400097. The reversal of 410400088 is 880004014.

It is an interprime number because it is at equal distance from previous prime (410400079) and next prime (410400097).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75378 + ... + 80638.

It is an arithmetic number, because the mean of its divisors is an integer number (18745875).

Almost surely, 2^410400088 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 410400088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449901000).

410400088 is an abundant number, since it is smaller than the sum of its proper divisors (489401912).

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

410400088 is a wasteful number, since it uses less digits than its factorization.

410400088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 410400088 is about 20258.3337913067. Note that the first 3 decimals coincide. The cubic root of 410400088 is about 743.1374508938.

The spelling of 410400088 in words is "four hundred ten million, four hundred thousand, eighty-eight".