5905200 has 240 divisors, whose sum is σ = 23371520. Its totient is φ = 1244160.

The previous prime is 5905187. The next prime is 5905213. The reversal of 5905200 is 25095.

It is an interprime number because it is at equal distance from previous prime (5905187) and next prime (5905213).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159582 + ... + 159618.

Almost surely, 2^5905200 is an apocalyptic number.

5905200 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 5905200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11685760).

5905200 is an abundant number, since it is smaller than the sum of its proper divisors (17466320).

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

5905200 is a wasteful number, since it uses less digits than its factorization.

5905200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5905200 is about 2430.0617276110. The cubic root of 5905200 is about 180.7499574349.

It can be divided in two parts, 5905 and 200, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5905200 in words is "five million, nine hundred five thousand, two hundred".