413360280 has 128 divisors (see below), whose sum is σ = 1383091200. Its totient is φ = 109812096.

The previous prime is 413360279. The next prime is 413360291. The reversal of 413360280 is 82063314.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374209 + ... + 375311.

It is an arithmetic number, because the mean of its divisors is an integer number (10805400).

Almost surely, 2^413360280 is an apocalyptic number.

413360280 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 413360280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691545600).

413360280 is an abundant number, since it is smaller than the sum of its proper divisors (969730920).

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

413360280 is a wasteful number, since it uses less digits than its factorization.

413360280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 413360280 is about 20331.2636105088. The cubic root of 413360280 is about 744.9199079102.

The spelling of 413360280 in words is "four hundred thirteen million, three hundred sixty thousand, two hundred eighty".