42931200 has 264 divisors, whose sum is σ = 156358048. Its totient is φ = 10321920.

The previous prime is 42931199. The next prime is 42931201. The reversal of 42931200 is 213924.

It is an interprime number because it is at equal distance from previous prime (42931199) and next prime (42931201).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42931201) 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, 998379 + ... + 998421.

Almost surely, 2^42931200 is an apocalyptic number.

42931200 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 42931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78179024).

42931200 is an abundant number, since it is smaller than the sum of its proper divisors (113426848).

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

42931200 is a wasteful number, since it uses less digits than its factorization.

42931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 42931200 is about 6552.1904734218. The cubic root of 42931200 is about 350.1528584012.

The spelling of 42931200 in words is "forty-two million, nine hundred thirty-one thousand, two hundred".