5242982400 has 234 divisors, whose sum is σ = 18782536370. Its totient is φ = 1397882880.

The previous prime is 5242982383. The next prime is 5242982401. The reversal of 5242982400 is 42892425.

5242982400 is a `hidden beast` number, since 5 + 242 + 9 + 8 + 2 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1373147136 + 3869835264 = 37056^2 + 62208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5242982401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 918756 + ... + 924444.

Almost surely, 2^5242982400 is an apocalyptic number.

5242982400 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 5242982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391268185).

5242982400 is an abundant number, since it is smaller than the sum of its proper divisors (13539553970).

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

5242982400 is a wasteful number, since it uses less digits than its factorization.

5242982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5242982400 is about 72408.4414968310. The cubic root of 5242982400 is about 1737.2385846205.

The spelling of 5242982400 in words is "five billion, two hundred forty-two million, nine hundred eighty-two thousand, four hundred".