416407164 has 24 divisors (see below), whose sum is σ = 981052800. Its totient is φ = 137454384.

The previous prime is 416407151. The next prime is 416407279. The reversal of 416407164 is 461704614.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167214 + ... + 169685.

It is an arithmetic number, because the mean of its divisors is an integer number (40877200).

Almost surely, 2^416407164 is an apocalyptic number.

It is an amenable number.

416407164 is an abundant number, since it is smaller than the sum of its proper divisors (564645636).

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

416407164 is a wasteful number, since it uses less digits than its factorization.

416407164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337009 (or 337007 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 416407164 is about 20406.0570419667. The cubic root of 416407164 is about 746.7457006937.

The spelling of 416407164 in words is "four hundred sixteen million, four hundred seven thousand, one hundred sixty-four".