413199360 has 528 divisors, whose sum is σ = 1736183520. Its totient is φ = 92897280.

The previous prime is 413199359. The next prime is 413199377. The reversal of 413199360 is 63991314.

It is a super-2 number, since 2×413199360² = 341467422208819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6773730 + ... + 6773790.

Almost surely, 2^413199360 is an apocalyptic number.

413199360 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 413199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868091760).

413199360 is an abundant number, since it is smaller than the sum of its proper divisors (1322984160).

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

413199360 is a wasteful number, since it uses less digits than its factorization.

413199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 413199360 is about 20327.3057732696. The cubic root of 413199360 is about 744.8232302853.

The spelling of 413199360 in words is "four hundred thirteen million, one hundred ninety-nine thousand, three hundred sixty".