414945280 has 52 divisors (see below), whose sum is σ = 995796252. Its totient is φ = 165969920.

The previous prime is 414945259. The next prime is 414945301. The reversal of 414945280 is 82549414.

It is an interprime number because it is at equal distance from previous prime (414945259) and next prime (414945301).

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 358875136 = 7488^2 + 18944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10350 + ... + 30610.

Almost surely, 2^414945280 is an apocalyptic number.

414945280 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 414945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497898126).

414945280 is an abundant number, since it is smaller than the sum of its proper divisors (580850972).

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

414945280 is an equidigital number, since it uses as much as digits as its factorization.

414945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20290 (or 20268 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 414945280 is about 20370.2056936105. The cubic root of 414945280 is about 745.8708073372.

The spelling of 414945280 in words is "four hundred fourteen million, nine hundred forty-five thousand, two hundred eighty".