413255320 has 64 divisors (see below), whose sum is σ = 991296000. Its totient is φ = 154597248.

The previous prime is 413255309. The next prime is 413255321. The reversal of 413255320 is 23552314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413255321) 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, 56599 + ... + 63481.

It is an arithmetic number, because the mean of its divisors is an integer number (15489000).

Almost surely, 2^413255320 is an apocalyptic number.

413255320 is a gapful number since it is divisible by the number (40) 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 413255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495648000).

413255320 is an abundant number, since it is smaller than the sum of its proper divisors (578040680).

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

413255320 is a wasteful number, since it uses less digits than its factorization.

413255320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6992 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 413255320 is about 20328.6822002805. The cubic root of 413255320 is about 744.8568528176.

The spelling of 413255320 in words is "four hundred thirteen million, two hundred fifty-five thousand, three hundred twenty".