413543360 has 112 divisors (see below), whose sum is σ = 1097828640. Its totient is φ = 147456000.

The previous prime is 413543359. The next prime is 413543399. The reversal of 413543360 is 63345314.

It is a super-2 number, since 2×413543360² = 342036221200179200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101360 + ... + 105360.

Almost surely, 2^413543360 is an apocalyptic number.

413543360 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 413543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548914320).

413543360 is an abundant number, since it is smaller than the sum of its proper divisors (684285280).

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

413543360 is a wasteful number, since it uses less digits than its factorization.

413543360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 413543360 is about 20335.7655375941. The cubic root of 413543360 is about 745.0298683279.

Adding to 413543360 its reverse (63345314), we get a palindrome (476888674).

The spelling of 413543360 in words is "four hundred thirteen million, five hundred forty-three thousand, three hundred sixty".