456460254 has 48 divisors (see below), whose sum is σ = 1035425664. Its totient is φ = 145054800.

The previous prime is 456460253. The next prime is 456460273. The reversal of 456460254 is 452064654.

456460254 is a `hidden beast` number, since 4 + 5 + 646 + 0 + 2 + 5 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456460253) 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 23 ways as a sum of consecutive naturals, for example, 135369 + ... + 138699.

It is an arithmetic number, because the mean of its divisors is an integer number (21571368).

Almost surely, 2^456460254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456460254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517712832).

456460254 is an abundant number, since it is smaller than the sum of its proper divisors (578965410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456460254 is a wasteful number, since it uses less digits than its factorization.

456460254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 456460254 is about 21364.9304702824. The cubic root of 456460254 is about 769.9590994185.

The spelling of 456460254 in words is "four hundred fifty-six million, four hundred sixty thousand, two hundred fifty-four".