5015468400 has 360 divisors, whose sum is σ = 17134153344. Its totient is φ = 1253145600.

The previous prime is 5015468383. The next prime is 5015468407. The reversal of 5015468400 is 48645105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5015468407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70640365 + ... + 70640435.

Almost surely, 2^5015468400 is an apocalyptic number.

5015468400 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 5015468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8567076672).

5015468400 is an abundant number, since it is smaller than the sum of its proper divisors (12118684944).

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

5015468400 is a wasteful number, since it uses less digits than its factorization.

5015468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5015468400 is about 70819.9717593844. The cubic root of 5015468400 is about 1711.7375041542.

The spelling of 5015468400 in words is "five billion, fifteen million, four hundred sixty-eight thousand, four hundred".