456505653 has 16 divisors (see below), whose sum is σ = 619133760. Its totient is φ = 299147904.

The previous prime is 456505627. The next prime is 456505657. The reversal of 456505653 is 356505654.

It is not a de Polignac number, because 456505653 - 2⁸ = 456505397 is a prime.

It is a super-2 number, since 2×456505653² = 416794822441912818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456505657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41250 + ... + 51132.

It is an arithmetic number, because the mean of its divisors is an integer number (38695860).

Almost surely, 2^456505653 is an apocalyptic number.

It is an amenable number.

456505653 is a deficient number, since it is larger than the sum of its proper divisors (162628107).

456505653 is a wasteful number, since it uses less digits than its factorization.

456505653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148.

The product of its (nonzero) digits is 270000, while the sum is 39.

The square root of 456505653 is about 21365.9929092940. The cubic root of 456505653 is about 769.9846249811.

Subtracting from 456505653 its reverse (356505654), we obtain a palindrome (99999999).

The spelling of 456505653 in words is "four hundred fifty-six million, five hundred five thousand, six hundred fifty-three".