5142400 has 48 divisors (see below), whose sum is σ = 12711240. Its totient is φ = 2055680.

The previous prime is 5142383. The next prime is 5142419. The reversal of 5142400 is 42415.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2397 + ... + 4003.

Almost surely, 2^5142400 is an apocalyptic number.

5142400 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 5142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355620).

5142400 is an abundant number, since it is smaller than the sum of its proper divisors (7568840).

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

5142400 is a wasteful number, since it uses less digits than its factorization.

5142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 5142400 is about 2267.6860452893. The cubic root of 5142400 is about 172.6057602516.

Adding to 5142400 its reverse (42415), we get a palindrome (5184815).

The spelling of 5142400 in words is "five million, one hundred forty-two thousand, four hundred".