1456470540 has 72 divisors (see below), whose sum is σ = 5049102240. Its totient is φ = 332907264.

The previous prime is 1456470487. The next prime is 1456470557. The reversal of 1456470540 is 450746541.

1456470540 is a `hidden beast` number, since 1 + 4 + 5 + 647 + 0 + 5 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1456470495 and 1456470504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576705 + ... + 579224.

It is an arithmetic number, because the mean of its divisors is an integer number (70126420).

Almost surely, 2^1456470540 is an apocalyptic number.

1456470540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456470540 is an abundant number, since it is smaller than the sum of its proper divisors (3592631700).

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

1456470540 is a wasteful number, since it uses less digits than its factorization.

1456470540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155951 (or 1155946 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1456470540 is about 38163.7333079456. The cubic root of 1456470540 is about 1133.5323043587.

The spelling of 1456470540 in words is "one billion, four hundred fifty-six million, four hundred seventy thousand, five hundred forty".