5102400 has 84 divisors (see below), whose sum is σ = 16755872. Its totient is φ = 1359360.

The previous prime is 5102381. The next prime is 5102407. The reversal of 5102400 is 42015.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4269 + ... + 5331.

Almost surely, 2^5102400 is an apocalyptic number.

5102400 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 5102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377936).

5102400 is an abundant number, since it is smaller than the sum of its proper divisors (11653472).

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

5102400 is a wasteful number, since it uses less digits than its factorization.

5102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5102400 is about 2258.8492645593. The cubic root of 5102400 is about 172.1570586324.

Adding to 5102400 its reverse (42015), we get a palindrome (5144415).

It can be divided in two parts, 5 and 102400, that multiplied together give a cube (512000 = 80³).

The spelling of 5102400 in words is "five million, one hundred two thousand, four hundred".