414628272 has 30 divisors (see below), whose sum is σ = 1160383692. Its totient is φ = 138209376.

The previous prime is 414628271. The next prime is 414628273. The reversal of 414628272 is 272826414.

414628272 is a `hidden beast` number, since 4 + 1 + 4 + 628 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (414628271) and next prime (414628273).

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

It is not an unprimeable number, because it can be changed into a prime (414628271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1439538 + ... + 1439825.

Almost surely, 2^414628272 is an apocalyptic number.

It is an amenable number.

414628272 is an abundant number, since it is smaller than the sum of its proper divisors (745755420).

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

414628272 is a wasteful number, since it uses less digits than its factorization.

414628272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879377 (or 2879368 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 414628272 is about 20362.4230385286. The cubic root of 414628272 is about 745.6808166219.

The spelling of 414628272 in words is "four hundred fourteen million, six hundred twenty-eight thousand, two hundred seventy-two".