4015200 has 144 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 913920.

The previous prime is 4015199. The next prime is 4015201. The reversal of 4015200 is 25104.

It is an interprime number because it is at equal distance from previous prime (4015199) and next prime (4015201).

It is a super-2 number, since 2×4015200² = 32243662080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4015201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16681 + ... + 16919.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 2^4015200 is an apocalyptic number.

4015200 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 4015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4015200 is an abundant number, since it is smaller than the sum of its proper divisors (10983840).

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

4015200 is a wasteful number, since it uses less digits than its factorization.

4015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 4015200 is about 2003.7963968428. The cubic root of 4015200 is about 158.9409218434.

The spelling of 4015200 in words is "four million, fifteen thousand, two hundred".