413536320 has 224 divisors, whose sum is σ = 1523024640. Its totient is φ = 105431040.

The previous prime is 413536283. The next prime is 413536337. The reversal of 413536320 is 23635314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197680 + ... + 199760.

Almost surely, 2^413536320 is an apocalyptic number.

413536320 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 413536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761512320).

413536320 is an abundant number, since it is smaller than the sum of its proper divisors (1109488320).

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

413536320 is a wasteful number, since it uses less digits than its factorization.

413536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 413536320 is about 20335.5924428082. The cubic root of 413536320 is about 745.0256406051.

The spelling of 413536320 in words is "four hundred thirteen million, five hundred thirty-six thousand, three hundred twenty".