1456417272 has 32 divisors (see below), whose sum is σ = 3642295680. Its totient is φ = 485305440.

The previous prime is 1456417253. The next prime is 1456417297. The reversal of 1456417272 is 2727146541.

It is a self number, because there is not a number n which added to its sum of digits gives 1456417272.

It is a congruent number.

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, 75093 + ... + 92475.

It is an arithmetic number, because the mean of its divisors is an integer number (113821740).

Almost surely, 2^1456417272 is an apocalyptic number.

1456417272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1456417272 is an abundant number, since it is smaller than the sum of its proper divisors (2185878408).

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

1456417272 is a wasteful number, since it uses less digits than its factorization.

1456417272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20883 (or 20879 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 1456417272 is about 38163.0354138661. The cubic root of 1456417272 is about 1133.5184851674.

The spelling of 1456417272 in words is "one billion, four hundred fifty-six million, four hundred seventeen thousand, two hundred seventy-two".