4090200 has 96 divisors (see below), whose sum is σ = 13458960. Its totient is φ = 1024000.

The previous prime is 4090193. The next prime is 4090223. The reversal of 4090200 is 20904.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4090200.

It is a congruent number.

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, 10000 + ... + 10400.

Almost surely, 2^4090200 is an apocalyptic number.

4090200 is a gapful number since it is divisible by the number (40) 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 4090200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729480).

4090200 is an abundant number, since it is smaller than the sum of its proper divisors (9368760).

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

4090200 is a wasteful number, since it uses less digits than its factorization.

4090200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4090200 is about 2022.4242878288. The cubic root of 4090200 is about 159.9244434924.

The spelling of 4090200 in words is "four million, ninety thousand, two hundred".