2456456860 has 96 divisors (see below), whose sum is σ = 6109028352. Its totient is φ = 817931520.

The previous prime is 2456456831. The next prime is 2456456897. The reversal of 2456456860 is 686546542.

It is a self number, because there is not a number n which added to its sum of digits gives 2456456860.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359839 + ... + 366601.

It is an arithmetic number, because the mean of its divisors is an integer number (63635712).

Almost surely, 2^2456456860 is an apocalyptic number.

2456456860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2456456860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054514176).

2456456860 is an abundant number, since it is smaller than the sum of its proper divisors (3652571492).

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

2456456860 is a wasteful number, since it uses less digits than its factorization.

2456456860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The square root of 2456456860 is about 49562.6559013941. The cubic root of 2456456860 is about 1349.2829955706.

The spelling of 2456456860 in words is "two billion, four hundred fifty-six million, four hundred fifty-six thousand, eight hundred sixty".