414934872 has 128 divisors (see below), whose sum is σ = 1176042240. Its totient is φ = 120890880.

The previous prime is 414934867. The next prime is 414934903. The reversal of 414934872 is 278439414.

It is a congruent number.

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, 1044978 + ... + 1045374.

It is an arithmetic number, because the mean of its divisors is an integer number (9187830).

Almost surely, 2^414934872 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 414934872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588021120).

414934872 is an abundant number, since it is smaller than the sum of its proper divisors (761107368).

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

414934872 is a wasteful number, since it uses less digits than its factorization.

414934872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 414934872 is about 20369.9502208523. The cubic root of 414934872 is about 745.8645711027.

The spelling of 414934872 in words is "four hundred fourteen million, nine hundred thirty-four thousand, eight hundred seventy-two".