456477153 has 8 divisors (see below), whose sum is σ = 663966816. Its totient is φ = 276652800.

The previous prime is 456477143. The next prime is 456477157. The reversal of 456477153 is 351774654.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 456477153 - 2⁴ = 456477137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456477157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6916288 + ... + 6916353.

It is an arithmetic number, because the mean of its divisors is an integer number (82995852).

Almost surely, 2^456477153 is an apocalyptic number.

It is an amenable number.

456477153 is a deficient number, since it is larger than the sum of its proper divisors (207489663).

456477153 is a wasteful number, since it uses less digits than its factorization.

456477153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13832655.

The product of its digits is 352800, while the sum is 42.

The square root of 456477153 is about 21365.3259511761. The cubic root of 456477153 is about 769.9686010697.

The spelling of 456477153 in words is "four hundred fifty-six million, four hundred seventy-seven thousand, one hundred fifty-three".