2453838480 has 480 divisors, whose sum is σ = 9359400960. Its totient is φ = 572866560.

The previous prime is 2453838469. The next prime is 2453838503. The reversal of 2453838480 is 848383542.

2453838480 is a `hidden beast` number, since 2 + 4 + 538 + 38 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11003649 + ... + 11003871.

It is an arithmetic number, because the mean of its divisors is an integer number (19498752).

Almost surely, 2^2453838480 is an apocalyptic number.

2453838480 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 2453838480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

2453838480 is an abundant number, since it is smaller than the sum of its proper divisors (6905562480).

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

2453838480 is a wasteful number, since it uses less digits than its factorization.

2453838480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2453838480 is about 49536.2340110752. The cubic root of 2453838480 is about 1348.8034170791.

The spelling of 2453838480 in words is "two billion, four hundred fifty-three million, eight hundred thirty-eight thousand, four hundred eighty".