42853200 has 240 divisors, whose sum is σ = 153698496. Its totient is φ = 10137600.

The previous prime is 42853199. The next prime is 42853201. The reversal of 42853200 is 235824.

It is an interprime number because it is at equal distance from previous prime (42853199) and next prime (42853201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42853201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639567 + ... + 639633.

Almost surely, 2^42853200 is an apocalyptic number.

42853200 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 42853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76849248).

42853200 is an abundant number, since it is smaller than the sum of its proper divisors (110845296).

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

42853200 is a wasteful number, since it uses less digits than its factorization.

42853200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42853200 is about 6546.2355594647. The cubic root of 42853200 is about 349.9406702155.

It can be divided in two parts, 428 and 53200, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 42853200 in words is "forty-two million, eight hundred fifty-three thousand, two hundred".