456010144 has 48 divisors (see below), whose sum is σ = 945266112. Its totient is φ = 216122368.

The previous prime is 456010103. The next prime is 456010151. The reversal of 456010144 is 441010654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80427 + ... + 85909.

It is an arithmetic number, because the mean of its divisors is an integer number (19693044).

Almost surely, 2^456010144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472633056).

456010144 is an abundant number, since it is smaller than the sum of its proper divisors (489255968).

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

456010144 is a wasteful number, since it uses less digits than its factorization.

456010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 456010144 is about 21354.3940209035. The cubic root of 456010144 is about 769.7059336978.

Adding to 456010144 its reverse (441010654), we get a palindrome (897020798).

The spelling of 456010144 in words is "four hundred fifty-six million, ten thousand, one hundred forty-four".