416864 has 24 divisors (see below), whose sum is σ = 938448. Its totient is φ = 178560.

The previous prime is 416851. The next prime is 416873. The reversal of 416864 is 468614.

416864 = T₂₃₇ + T₂₃₈ + ... + T₂₅₀.

416864 is a modest number, since divided by 864 gives 416 as remainder.

It is a congruent number.

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, 707 + ... + 1154.

It is an arithmetic number, because the mean of its divisors is an integer number (39102).

2⁴¹⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

416864 is an abundant number, since it is smaller than the sum of its proper divisors (521584).

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

416864 is a wasteful number, since it uses less digits than its factorization.

416864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1870 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 416864 is about 645.6500600170. The cubic root of 416864 is about 74.7018683222.

The spelling of 416864 in words is "four hundred sixteen thousand, eight hundred sixty-four".