413682720 has 192 divisors, whose sum is σ = 1452681216. Its totient is φ = 98094080.

The previous prime is 413682719. The next prime is 413682779. The reversal of 413682720 is 27286314.

It is a super-2 number, since 2×413682720² = 342266785653196800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 247327 + ... + 248993.

It is an arithmetic number, because the mean of its divisors is an integer number (7566048).

Almost surely, 2^413682720 is an apocalyptic number.

413682720 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 413682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726340608).

413682720 is an abundant number, since it is smaller than the sum of its proper divisors (1038998496).

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

413682720 is a wasteful number, since it uses less digits than its factorization.

413682720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 413682720 is about 20339.1917243533. The cubic root of 413682720 is about 745.1135481478.

The spelling of 413682720 in words is "four hundred thirteen million, six hundred eighty-two thousand, seven hundred twenty".