416271204 has 96 divisors (see below), whose sum is σ = 1137776640. Its totient is φ = 131354784.

The previous prime is 416271161. The next prime is 416271211. The reversal of 416271204 is 402172614.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255039 + ... + 256665.

It is an arithmetic number, because the mean of its divisors is an integer number (11851840).

Almost surely, 2^416271204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416271204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568888320).

416271204 is an abundant number, since it is smaller than the sum of its proper divisors (721505436).

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

416271204 is a wasteful number, since it uses less digits than its factorization.

416271204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 416271204 is about 20402.7254061804. The cubic root of 416271204 is about 746.6644191932.

The spelling of 416271204 in words is "four hundred sixteen million, two hundred seventy-one thousand, two hundred four".