414718380 has 72 divisors (see below), whose sum is σ = 1304586192. Its totient is φ = 110590272.

The previous prime is 414718363. The next prime is 414718397. The reversal of 414718380 is 83817414.

It is an interprime number because it is at equal distance from previous prime (414718363) and next prime (414718397).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37807 + ... + 47526.

Almost surely, 2^414718380 is an apocalyptic number.

It is an amenable number.

414718380 is an abundant number, since it is smaller than the sum of its proper divisors (889867812).

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

414718380 is a wasteful number, since it uses less digits than its factorization.

414718380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85357 (or 85343 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 414718380 is about 20364.6355233773. The cubic root of 414718380 is about 745.7348304175.

The spelling of 414718380 in words is "four hundred fourteen million, seven hundred eighteen thousand, three hundred eighty".