2456472460 has 72 divisors (see below), whose sum is σ = 5914653696. Its totient is φ = 853632000.

The previous prime is 2456472449. The next prime is 2456472467. The reversal of 2456472460 is 642746542.

It is not an unprimeable number, because it can be changed into a prime (2456472467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36085 + ... + 78835.

It is an arithmetic number, because the mean of its divisors is an integer number (82147968).

Almost surely, 2^2456472460 is an apocalyptic number.

2456472460 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 2456472460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957326848).

2456472460 is an abundant number, since it is smaller than the sum of its proper divisors (3458181236).

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

2456472460 is a wasteful number, since it uses less digits than its factorization.

2456472460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42803 (or 42788 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The square root of 2456472460 is about 49562.8132776984. The cubic root of 2456472460 is about 1349.2858518214.

The spelling of 2456472460 in words is "two billion, four hundred fifty-six million, four hundred seventy-two thousand, four hundred sixty".