414964 has 12 divisors (see below), whose sum is σ = 792288. Its totient is φ = 188600.

The previous prime is 414959. The next prime is 414971. The reversal of 414964 is 469414.

It is an Ulam number.

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, 4672 + ... + 4759.

It is an arithmetic number, because the mean of its divisors is an integer number (66024).

2⁴¹⁴⁹⁶⁴ is an apocalyptic number.

414964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414964 is a deficient number, since it is larger than the sum of its proper divisors (377324).

414964 is a wasteful number, since it uses less digits than its factorization.

414964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9446 (or 9444 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 414964 is about 644.1769943113. The cubic root of 414964 is about 74.5882023669.

It can be divided in two parts, 414 and 964, that added together give a triangular number (1378 = T₅₂).

The spelling of 414964 in words is "four hundred fourteen thousand, nine hundred sixty-four".