456114053 has 16 divisors (see below), whose sum is σ = 475372800. Its totient is φ = 437310720.

The previous prime is 456114049. The next prime is 456114101. The reversal of 456114053 is 350411654.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 456114053 - 2² = 456114049 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456114013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 871850 + ... + 872372.

It is an arithmetic number, because the mean of its divisors is an integer number (29710800).

Almost surely, 2^456114053 is an apocalyptic number.

It is an amenable number.

456114053 is a deficient number, since it is larger than the sum of its proper divisors (19258747).

456114053 is a wasteful number, since it uses less digits than its factorization.

456114053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 456114053 is about 21356.8268476382. The cubic root of 456114053 is about 769.7643924118.

The spelling of 456114053 in words is "four hundred fifty-six million, one hundred fourteen thousand, fifty-three".