456005613 has 24 divisors (see below), whose sum is σ = 738030528. Its totient is φ = 249243456.

The previous prime is 456005611. The next prime is 456005621. The reversal of 456005613 is 316500654.

It is not a de Polignac number, because 456005613 - 2¹ = 456005611 is a prime.

It is a super-2 number, since 2×456005613² = 415882238175011538, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456005611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64056 + ... + 70817.

It is an arithmetic number, because the mean of its divisors is an integer number (30751272).

Almost surely, 2^456005613 is an apocalyptic number.

It is an amenable number.

456005613 is a deficient number, since it is larger than the sum of its proper divisors (282024915).

456005613 is a wasteful number, since it uses less digits than its factorization.

456005613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134913 (or 134906 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 456005613 is about 21354.2879300622. The cubic root of 456005613 is about 769.7033843764.

The spelling of 456005613 in words is "four hundred fifty-six million, five thousand, six hundred thirteen".