414145376 has 24 divisors (see below), whose sum is σ = 819864864. Its totient is φ = 205925760.

The previous prime is 414145331. The next prime is 414145379. The reversal of 414145376 is 673541414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414145379) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29960 + ... + 41543.

It is an arithmetic number, because the mean of its divisors is an integer number (34161036).

Almost surely, 2^414145376 is an apocalyptic number.

It is an amenable number.

414145376 is a deficient number, since it is larger than the sum of its proper divisors (405719488).

414145376 is a wasteful number, since it uses less digits than its factorization.

414145376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71694 (or 71686 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 414145376 is about 20350.5620561202. The cubic root of 414145376 is about 745.3912189351.

The spelling of 414145376 in words is "four hundred fourteen million, one hundred forty-five thousand, three hundred seventy-six".