5295400 has 96 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1836800.

The previous prime is 5295383. The next prime is 5295431. The reversal of 5295400 is 45925.

5295400 = T₁₆₅ + T₁₆₆ + ... + T₃₃₀.

It is a super-2 number, since 2×5295400² = 56082522320000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63759 + ... + 63841.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

Almost surely, 2^5295400 is an apocalyptic number.

5295400 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 5295400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

5295400 is an abundant number, since it is smaller than the sum of its proper divisors (8766200).

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

5295400 is a wasteful number, since it uses less digits than its factorization.

5295400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 5295400 is about 2301.1736136155. The cubic root of 5295400 is about 174.3008842582.

It can be divided in two parts, 529 and 5400, that added together give a square (5929 = 77²).

The spelling of 5295400 in words is "five million, two hundred ninety-five thousand, four hundred".