5292400 has 60 divisors (see below), whose sum is σ = 12938904. Its totient is φ = 2080000.

The previous prime is 5292379. The next prime is 5292437. The reversal of 5292400 is 42925.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40335 + ... + 40465.

Almost surely, 2^5292400 is an apocalyptic number.

5292400 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 5292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469452).

5292400 is an abundant number, since it is smaller than the sum of its proper divisors (7646504).

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

5292400 is a wasteful number, since it uses less digits than its factorization.

5292400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5292400 is about 2300.5216799674. The cubic root of 5292400 is about 174.2679625129.

The spelling of 5292400 in words is "five million, two hundred ninety-two thousand, four hundred".