414203904 has 135 divisors (see below), whose sum is σ = 1219554973. Its totient is φ = 135462912.

The previous prime is 414203899. The next prime is 414203981. The reversal of 414203904 is 409302414.

The square root of 414203904 is 20352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 298598400 + 115605504 = 17280^2 + 10752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7815142 + ... + 7815194.

Almost surely, 2^414203904 is an apocalyptic number.

414203904 is the 20352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414203904

414203904 is an abundant number, since it is smaller than the sum of its proper divisors (805351069).

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

414203904 is an frugal number, since it uses more digits than its factorization.

414203904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 58 counting only the distinct ones).

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

The cubic root of 414203904 is about 745.4263307620.

The spelling of 414203904 in words is "four hundred fourteen million, two hundred three thousand, nine hundred four".