413377088 has 56 divisors (see below), whose sum is σ = 844905600. Its totient is φ = 200545280.

The previous prime is 413377073. The next prime is 413377109. The reversal of 413377088 is 880773314.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 689813 + ... + 690411.

It is an arithmetic number, because the mean of its divisors is an integer number (15087600).

Almost surely, 2^413377088 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 413377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422452800).

413377088 is an abundant number, since it is smaller than the sum of its proper divisors (431528512).

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

413377088 is a wasteful number, since it uses less digits than its factorization.

413377088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 413377088 is about 20331.6769598575. The cubic root of 413377088 is about 744.9300043843.

The spelling of 413377088 in words is "four hundred thirteen million, three hundred seventy-seven thousand, eighty-eight".