42865200 has 360 divisors, whose sum is σ = 179668560. Its totient is φ = 9797760.

The previous prime is 42865187. The next prime is 42865217. The reversal of 42865200 is 256824.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42865200 is a `hidden beast` number, since 4 + 2 + 8 + 652 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6123597 + ... + 6123603.

Almost surely, 2^42865200 is an apocalyptic number.

42865200 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 42865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89834280).

42865200 is an abundant number, since it is smaller than the sum of its proper divisors (136803360).

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

42865200 is an equidigital number, since it uses as much as digits as its factorization.

42865200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42865200 is about 6547.1520526104. The cubic root of 42865200 is about 349.9733313013.

Multiplying 42865200 by its sum of digits (27), we get a square (1157360400 = 34020²).

42865200 divided by its sum of digits (27) gives a square (1587600 = 1260²).

The spelling of 42865200 in words is "forty-two million, eight hundred sixty-five thousand, two hundred".