42595200 has 384 divisors, whose sum is σ = 170748000. Its totient is φ = 10321920.

The previous prime is 42595193. The next prime is 42595213. The reversal of 42595200 is 259524.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468786 + ... + 1468814.

Almost surely, 2^42595200 is an apocalyptic number.

42595200 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 42595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85374000).

42595200 is an abundant number, since it is smaller than the sum of its proper divisors (128152800).

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

42595200 is a wasteful number, since it uses less digits than its factorization.

42595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 42595200 is about 6526.4998276258. The cubic root of 42595200 is about 349.2369772253.

The spelling of 42595200 in words is "forty-two million, five hundred ninety-five thousand, two hundred".