414993096 has 48 divisors (see below), whose sum is σ = 1284504000. Its totient is φ = 118569312.

The previous prime is 414993067. The next prime is 414993107. The reversal of 414993096 is 690399414.

414993096 is a `hidden beast` number, since 41 + 499 + 30 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411196 + ... + 412203.

It is an arithmetic number, because the mean of its divisors is an integer number (26760500).

Almost surely, 2^414993096 is an apocalyptic number.

It is an amenable number.

414993096 is an abundant number, since it is smaller than the sum of its proper divisors (869510904).

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

414993096 is a wasteful number, since it uses less digits than its factorization.

414993096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823418 (or 823411 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 414993096 is about 20371.3793347431. The cubic root of 414993096 is about 745.8994562462.

The spelling of 414993096 in words is "four hundred fourteen million, nine hundred ninety-three thousand, ninety-six".