5902400 has 168 divisors, whose sum is σ = 18141696. Its totient is φ = 1843200.

The previous prime is 5902397. The next prime is 5902411. The reversal of 5902400 is 42095.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 190385 + ... + 190415.

Almost surely, 2^5902400 is an apocalyptic number.

5902400 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 5902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9070848).

5902400 is an abundant number, since it is smaller than the sum of its proper divisors (12239296).

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

5902400 is a wasteful number, since it uses less digits than its factorization.

5902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 5902400 is about 2429.4855422496. The cubic root of 5902400 is about 180.7213848835.

Adding to 5902400 its reverse (42095), we get a palindrome (5944495).

The spelling of 5902400 in words is "five million, nine hundred two thousand, four hundred".