413077440 has 56 divisors (see below), whose sum is σ = 1311523920. Its totient is φ = 110153728.

The previous prime is 413077439. The next prime is 413077451. The reversal of 413077440 is 44770314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 413077398 and 413077407.

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, 214185 + ... + 216104.

It is an arithmetic number, because the mean of its divisors is an integer number (23420070).

Almost surely, 2^413077440 is an apocalyptic number.

413077440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413077440 is an abundant number, since it is smaller than the sum of its proper divisors (898446480).

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

413077440 is a wasteful number, since it uses less digits than its factorization.

413077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430309 (or 430299 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 413077440 is about 20324.3066302396. The cubic root of 413077440 is about 744.7499663922.

The spelling of 413077440 in words is "four hundred thirteen million, seventy-seven thousand, four hundred forty".