5050952400 has 240 divisors, whose sum is σ = 18342645440. Its totient is φ = 1177804800.

The previous prime is 5050952377. The next prime is 5050952411. The reversal of 5050952400 is 42590505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287880 + ... + 304920.

Almost surely, 2^5050952400 is an apocalyptic number.

5050952400 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 5050952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9171322720).

5050952400 is an abundant number, since it is smaller than the sum of its proper divisors (13291693040).

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

5050952400 is a wasteful number, since it uses less digits than its factorization.

5050952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17094 (or 17083 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 5050952400 is about 71070.0527648601. The cubic root of 5050952400 is about 1715.7648190798.

The spelling of 5050952400 in words is "five billion, fifty million, nine hundred fifty-two thousand, four hundred".