1456933813 has 16 divisors (see below), whose sum is σ = 1679832000. Its totient is φ = 1254258432.

The previous prime is 1456933789. The next prime is 1456933837. The reversal of 1456933813 is 3183396541.

It is an interprime number because it is at equal distance from previous prime (1456933789) and next prime (1456933837).

It is a cyclic number.

It is not a de Polignac number, because 1456933813 - 2⁹ = 1456933301 is a prime.

It is a super-2 number, since 2×1456933813² = 4245312270925437938, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1456933813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456933843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68403 + ... + 87136.

It is an arithmetic number, because the mean of its divisors is an integer number (104989500).

Almost surely, 2^1456933813 is an apocalyptic number.

It is an amenable number.

1456933813 is a deficient number, since it is larger than the sum of its proper divisors (222898187).

1456933813 is a wasteful number, since it uses less digits than its factorization.

1456933813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155604.

The product of its digits is 233280, while the sum is 43.

The square root of 1456933813 is about 38169.8023704603. The cubic root of 1456933813 is about 1133.6524759718.

The spelling of 1456933813 in words is "one billion, four hundred fifty-six million, nine hundred thirty-three thousand, eight hundred thirteen".