456420024654 has 128 divisors (see below), whose sum is σ = 1092031193088. Its totient is φ = 125725944960.

The previous prime is 456420024653. The next prime is 456420024661.

456420024654 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456420024653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2320647 + ... + 2509629.

It is an arithmetic number, because the mean of its divisors is an integer number (8531493696).

Almost surely, 2^456420024654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456420024654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546015596544).

456420024654 is an abundant number, since it is smaller than the sum of its proper divisors (635611168434).

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

456420024654 is a wasteful number, since it uses less digits than its factorization.

456420024654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189102.

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 4564200 and 24654, that added together give a palindrome (4588854).

The spelling of 456420024654 in words is "four hundred fifty-six billion, four hundred twenty million, twenty-four thousand, six hundred fifty-four".