414399060 has 36 divisors (see below), whose sum is σ = 1257011028. Its totient is φ = 110506368.

The previous prime is 414399059. The next prime is 414399079. The reversal of 414399060 is 60993414.

It can be written as a sum of positive squares in 2 ways, for example, as 107868996 + 306530064 = 10386^2 + 17508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150929 + ... + 1151288.

It is an arithmetic number, because the mean of its divisors is an integer number (34916973).

Almost surely, 2^414399060 is an apocalyptic number.

It is an amenable number.

414399060 is an abundant number, since it is smaller than the sum of its proper divisors (842611968).

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

414399060 is a wasteful number, since it uses less digits than its factorization.

414399060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302232 (or 2302227 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 414399060 is about 20356.7939518972. The cubic root of 414399060 is about 745.5433838836.

The spelling of 414399060 in words is "four hundred fourteen million, three hundred ninety-nine thousand, sixty".