5402400 has 72 divisors (see below), whose sum is σ = 17592624. Its totient is φ = 1440000.

The previous prime is 5402393. The next prime is 5402429. The reversal of 5402400 is 42045.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5402400.

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, 1275 + ... + 3525.

It is an arithmetic number, because the mean of its divisors is an integer number (244342).

Almost surely, 2^5402400 is an apocalyptic number.

5402400 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 5402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8796312).

5402400 is an abundant number, since it is smaller than the sum of its proper divisors (12190224).

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

5402400 is a wasteful number, since it uses less digits than its factorization.

5402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 5402400 is about 2324.3063481392. The cubic root of 5402400 is about 175.4670517119.

Adding to 5402400 its reverse (42045), we get a palindrome (5444445).

The spelling of 5402400 in words is "five million, four hundred two thousand, four hundred".