1456415060 has 12 divisors (see below), whose sum is σ = 3058471668. Its totient is φ = 582566016.

The previous prime is 1456415057. The next prime is 1456415071. The reversal of 1456415060 is 605146541.

It can be written as a sum of positive squares in 2 ways, for example, as 983700496 + 472714564 = 31364^2 + 21742^2 .

It is a super-2 number, since 2×1456415060² = 4242289653989607200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36410357 + ... + 36410396.

It is an arithmetic number, because the mean of its divisors is an integer number (254872639).

Almost surely, 2^1456415060 is an apocalyptic number.

1456415060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456415060 is an abundant number, since it is smaller than the sum of its proper divisors (1602056608).

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

1456415060 is a wasteful number, since it uses less digits than its factorization.

1456415060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72820762 (or 72820760 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1456415060 is about 38163.0064329319. The cubic root of 1456415060 is about 1133.5179113062.

The spelling of 1456415060 in words is "one billion, four hundred fifty-six million, four hundred fifteen thousand, sixty".