413297280 has 288 divisors, whose sum is σ = 1571349780. Its totient is φ = 100024320.

The previous prime is 413297231. The next prime is 413297323. The reversal of 413297280 is 82792314.

It can be written as a sum of positive squares in 2 ways, for example, as 413227584 + 69696 = 20328^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696664 + ... + 697256.

Almost surely, 2^413297280 is an apocalyptic number.

413297280 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 413297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785674890).

413297280 is an abundant number, since it is smaller than the sum of its proper divisors (1158052500).

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

413297280 is a wasteful number, since it uses less digits than its factorization.

413297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 413297280 is about 20329.7142134364. The cubic root of 413297280 is about 744.8820617174.

The spelling of 413297280 in words is "four hundred thirteen million, two hundred ninety-seven thousand, two hundred eighty".