415268 has 12 divisors (see below), whose sum is σ = 830592. Its totient is φ = 177960.

The previous prime is 415253. The next prime is 415271. The reversal of 415268 is 862514.

415268 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 415268.

It is an unprimeable number.

415268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7388 + ... + 7443.

It is an arithmetic number, because the mean of its divisors is an integer number (69216).

2⁴¹⁵²⁶⁸ is an apocalyptic number.

It is an amenable number.

415268 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

415268 is a wasteful number, since it uses less digits than its factorization.

415268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14842 (or 14840 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 415268 is about 644.4129111059. The cubic root of 415268 is about 74.6064122025.

The spelling of 415268 in words is "four hundred fifteen thousand, two hundred sixty-eight".