414388272 has 40 divisors (see below), whose sum is σ = 1082542320. Its totient is φ = 136576000.

The previous prime is 414388267. The next prime is 414388283. The reversal of 414388272 is 272883414.

It is a super-2 number, since 2×414388272² = 343435279942291968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 414388272.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44229 + ... + 52772.

It is an arithmetic number, because the mean of its divisors is an integer number (27063558).

Almost surely, 2^414388272 is an apocalyptic number.

It is an amenable number.

414388272 is an abundant number, since it is smaller than the sum of its proper divisors (668154048).

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

414388272 is a wasteful number, since it uses less digits than its factorization.

414388272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97101 (or 97095 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 414388272 is about 20356.5289772102. The cubic root of 414388272 is about 745.5369142809.

The spelling of 414388272 in words is "four hundred fourteen million, three hundred eighty-eight thousand, two hundred seventy-two".