5133450400 has 288 divisors, whose sum is σ = 14423451840. Its totient is φ = 1768366080.

The previous prime is 5133450397. The next prime is 5133450409. The reversal of 5133450400 is 40543315.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5133450409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16400644 + ... + 16400956.

It is an arithmetic number, because the mean of its divisors is an integer number (50081430).

Almost surely, 2^5133450400 is an apocalyptic number.

5133450400 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 5133450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211725920).

5133450400 is an abundant number, since it is smaller than the sum of its proper divisors (9290001440).

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

5133450400 is a wasteful number, since it uses less digits than its factorization.

5133450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5133450400 is about 71648.1011611613. The cubic root of 5133450400 is about 1725.0557035852.

Adding to 5133450400 its reverse (40543315), we get a palindrome (5173993715).

The spelling of 5133450400 in words is "five billion, one hundred thirty-three million, four hundred fifty thousand, four hundred".