42685200 has 180 divisors, whose sum is σ = 151115328. Its totient is φ = 11155200.

The previous prime is 42685199. The next prime is 42685207. The reversal of 42685200 is 258624.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×42685200³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42685207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255517 + ... + 255683.

Almost surely, 2^42685200 is an apocalyptic number.

42685200 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 42685200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75557664).

42685200 is an abundant number, since it is smaller than the sum of its proper divisors (108430128).

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

42685200 is a wasteful number, since it uses less digits than its factorization.

42685200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

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

The square root of 42685200 is about 6533.3911562067. The cubic root of 42685200 is about 349.4827734392.

The spelling of 42685200 in words is "forty-two million, six hundred eighty-five thousand, two hundred".