5870400 has 84 divisors (see below), whose sum is σ = 19275552. Its totient is φ = 1564160.

The previous prime is 5870393. The next prime is 5870407. The reversal of 5870400 is 40785.

It is an interprime number because it is at equal distance from previous prime (5870393) and next prime (5870407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5870407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4189 + ... + 5411.

Almost surely, 2^5870400 is an apocalyptic number.

5870400 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 5870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9637776).

5870400 is an abundant number, since it is smaller than the sum of its proper divisors (13405152).

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

5870400 is a wasteful number, since it uses less digits than its factorization.

5870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5870400 is about 2422.8908353452. The cubic root of 5870400 is about 180.3941978098.

The spelling of 5870400 in words is "five million, eight hundred seventy thousand, four hundred".