1456426272 has 96 divisors (see below), whose sum is σ = 4475931264. Its totient is φ = 405964800.

The previous prime is 1456426253. The next prime is 1456426303. The reversal of 1456426272 is 2726246541.

It is a tau number, because it is divible by the number of its divisors (96).

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 1456426272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122 + ... + 53982.

It is an arithmetic number, because the mean of its divisors is an integer number (46624284).

Almost surely, 2^1456426272 is an apocalyptic number.

1456426272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456426272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237965632).

1456426272 is an abundant number, since it is smaller than the sum of its proper divisors (3019504992).

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

1456426272 is a wasteful number, since it uses less digits than its factorization.

1456426272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52922 (or 52914 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 1456426272 is about 38163.1533288328. The cubic root of 1456426272 is about 1133.5208200398.

The spelling of 1456426272 in words is "one billion, four hundred fifty-six million, four hundred twenty-six thousand, two hundred seventy-two".