1456478580 has 96 divisors (see below), whose sum is σ = 4251921408. Its totient is φ = 372096000.

The previous prime is 1456478579. The next prime is 1456478591. The reversal of 1456478580 is 858746541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183984 + ... + 191736.

It is an arithmetic number, because the mean of its divisors is an integer number (44290848).

Almost surely, 2^1456478580 is an apocalyptic number.

1456478580 is a gapful number since it is divisible by the number (10) 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 1456478580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125960704).

1456478580 is an abundant number, since it is smaller than the sum of its proper divisors (2795442828).

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

1456478580 is a wasteful number, since it uses less digits than its factorization.

1456478580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7897 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 1456478580 is about 38163.8386434069. The cubic root of 1456478580 is about 1133.5343901276.

The spelling of 1456478580 in words is "one billion, four hundred fifty-six million, four hundred seventy-eight thousand, five hundred eighty".