414935972 has 12 divisors (see below), whose sum is σ = 792150576. Its totient is φ = 188607240.

The previous prime is 414935971. The next prime is 414936001. The reversal of 414935972 is 279539414.

It is a Harshad number since it is a multiple of its sum of digits (44), and also a Moran number because the ratio is a prime number: 9430363 = 414935972 / (4 + 1 + 4 + 9 + 3 + 5 + 9 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (414935971) 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, 4715138 + ... + 4715225.

It is an arithmetic number, because the mean of its divisors is an integer number (66012548).

Almost surely, 2^414935972 is an apocalyptic number.

It is an amenable number.

414935972 is a deficient number, since it is larger than the sum of its proper divisors (377214604).

414935972 is a wasteful number, since it uses less digits than its factorization.

414935972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430378 (or 9430376 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The square root of 414935972 is about 20369.9772213913. The cubic root of 414935972 is about 745.8652302024.

The spelling of 414935972 in words is "four hundred fourteen million, nine hundred thirty-five thousand, nine hundred seventy-two".