5302402400 has 72 divisors (see below), whose sum is σ = 13046664960. Its totient is φ = 2104220160.

The previous prime is 5302402397. The next prime is 5302402403. The reversal of 5302402400 is 42042035.

It is an interprime number because it is at equal distance from previous prime (5302402397) and next prime (5302402403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5302402403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75506 + ... + 127694.

It is an arithmetic number, because the mean of its divisors is an integer number (181203680).

Almost surely, 2^5302402400 is an apocalyptic number.

5302402400 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 5302402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523332480).

5302402400 is an abundant number, since it is smaller than the sum of its proper divisors (7744262560).

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

5302402400 is a wasteful number, since it uses less digits than its factorization.

5302402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52336 (or 52323 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 5302402400 is about 72817.5967744061. The cubic root of 5302402400 is about 1743.7767964776.

Adding to 5302402400 its reverse (42042035), we get a palindrome (5344444435).

The spelling of 5302402400 in words is "five billion, three hundred two million, four hundred two thousand, four hundred".