5010482400 has 576 divisors, whose sum is σ = 21418629120. Its totient is φ = 985651200.

The previous prime is 5010482387. The next prime is 5010482417. The reversal of 5010482400 is 42840105.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3510487 + ... + 3511913.

It is an arithmetic number, because the mean of its divisors is an integer number (37185120).

Almost surely, 2^5010482400 is an apocalyptic number.

5010482400 is a gapful number since it is divisible by the number (50) 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 5010482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10709314560).

5010482400 is an abundant number, since it is smaller than the sum of its proper divisors (16408146720).

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

5010482400 is a wasteful number, since it uses less digits than its factorization.

5010482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5010482400 is about 70784.7610718578. The cubic root of 5010482400 is about 1711.1700893572.

The spelling of 5010482400 in words is "five billion, ten million, four hundred eighty-two thousand, four hundred".