414122464 has 48 divisors (see below), whose sum is σ = 933424128. Its totient is φ = 177167232.

The previous prime is 414122447. The next prime is 414122497. The reversal of 414122464 is 464221414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161577 + ... + 164119.

It is an arithmetic number, because the mean of its divisors is an integer number (19446336).

Almost surely, 2^414122464 is an apocalyptic number.

It is an amenable number.

414122464 is an abundant number, since it is smaller than the sum of its proper divisors (519301664).

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

414122464 is a wasteful number, since it uses less digits than its factorization.

414122464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3279 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 414122464 is about 20349.9991154791. Note that the first 3 decimals coincide. The cubic root of 414122464 is about 745.3774727809.

Adding to 414122464 its reverse (464221414), we get a palindrome (878343878).

The spelling of 414122464 in words is "four hundred fourteen million, one hundred twenty-two thousand, four hundred sixty-four".