416009872 has 20 divisors (see below), whose sum is σ = 833813820. Its totient is φ = 200832128.

The previous prime is 416009849. The next prime is 416009929. The reversal of 416009872 is 278900614.

It can be written as a sum of positive squares in 2 ways, for example, as 67963536 + 348046336 = 8244^2 + 18656^2 .

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, 447823 + ... + 448750.

It is an arithmetic number, because the mean of its divisors is an integer number (41690691).

Almost surely, 2^416009872 is an apocalyptic number.

It is an amenable number.

416009872 is an abundant number, since it is smaller than the sum of its proper divisors (417803948).

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

416009872 is a wasteful number, since it uses less digits than its factorization.

416009872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896610 (or 896604 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 416009872 is about 20396.3200602462. The cubic root of 416009872 is about 746.5081363408.

It can be divided in two parts, 4160098 and 72, that added together give a triangular number (4160170 = T₂₈₈₄).

The spelling of 416009872 in words is "four hundred sixteen million, nine thousand, eight hundred seventy-two".