414145476 has 36 divisors (see below), whose sum is σ = 1055122432. Its totient is φ = 136959984.

The previous prime is 414145453. The next prime is 414145481. The reversal of 414145476 is 674541414.

It is a happy number.

414145476 is a `hidden beast` number, since 4 + 141 + 45 + 476 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 414145476.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40720 + ... + 49863.

Almost surely, 2^414145476 is an apocalyptic number.

It is an amenable number.

414145476 is an abundant number, since it is smaller than the sum of its proper divisors (640976956).

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

414145476 is a wasteful number, since it uses less digits than its factorization.

414145476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90720 (or 90715 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 414145476 is about 20350.5645130547. The cubic root of 414145476 is about 745.3912789294.

The spelling of 414145476 in words is "four hundred fourteen million, one hundred forty-five thousand, four hundred seventy-six".