5152074400 has 144 divisors (see below), whose sum is σ = 14528445120. Its totient is φ = 1763225600.

The previous prime is 5152074329. The next prime is 5152074437. The reversal of 5152074400 is 44702515.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132381 + ... + 166819.

It is an arithmetic number, because the mean of its divisors is an integer number (100891980).

Almost surely, 2^5152074400 is an apocalyptic number.

5152074400 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 5152074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7264222560).

5152074400 is an abundant number, since it is smaller than the sum of its proper divisors (9376370720).

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

5152074400 is a wasteful number, since it uses less digits than its factorization.

5152074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34487 (or 34474 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 5152074400 is about 71777.9520465721. The cubic root of 5152074400 is about 1727.1393354892.

Adding to 5152074400 its reverse (44702515), we get a palindrome (5196776915).

The spelling of 5152074400 in words is "five billion, one hundred fifty-two million, seventy-four thousand, four hundred".