1456706920 has 16 divisors (see below), whose sum is σ = 3277590660. Its totient is φ = 582682752.

The previous prime is 1456706903. The next prime is 1456706947. The reversal of 1456706920 is 296076541.

It can be written as a sum of positive squares in 2 ways, for example, as 1377745924 + 78960996 = 37118^2 + 8886^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 36417673 = 1456706920 / (1 + 4 + 5 + 6 + 7 + 0 + 6 + 9 + 2 + 0).

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, 18208797 + ... + 18208876.

Almost surely, 2^1456706920 is an apocalyptic number.

1456706920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456706920 is an abundant number, since it is smaller than the sum of its proper divisors (1820883740).

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

1456706920 is a wasteful number, since it uses less digits than its factorization.

1456706920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36417684 (or 36417680 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1456706920 is about 38166.8301015424. The cubic root of 1456706920 is about 1133.5936237983.

The spelling of 1456706920 in words is "one billion, four hundred fifty-six million, seven hundred six thousand, nine hundred twenty".