5027400 has 288 divisors, whose sum is σ = 21204000. Its totient is φ = 1088640.

The previous prime is 5027383. The next prime is 5027443. The reversal of 5027400 is 47205.

5027400 = 296² + 297² + ... + 344².

It is a happy number.

5027400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264591 + ... + 264609.

It is an arithmetic number, because the mean of its divisors is an integer number (73625).

Almost surely, 2^5027400 is an apocalyptic number.

5027400 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 5027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602000).

5027400 is an abundant number, since it is smaller than the sum of its proper divisors (16176600).

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

5027400 is a wasteful number, since it uses less digits than its factorization.

5027400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5027400 is about 2242.1864329266. The cubic root of 5027400 is about 171.3093814351.

5027400 divided by its product of nonzero digits (280) gives a triangular number (17955 = T₁₈₉).

The spelling of 5027400 in words is "five million, twenty-seven thousand, four hundred".