42534800 has 120 divisors (see below), whose sum is σ = 127497792. Its totient is φ = 13248000.

The previous prime is 42534781. The next prime is 42534809. The reversal of 42534800 is 843524.

It is a super-2 number, since 2×42534800² = 3618418422080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42534800.

It is not an unprimeable number, because it can be changed into a prime (42534809) 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, 30110 + ... + 31490.

Almost surely, 2^42534800 is an apocalyptic number.

42534800 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 42534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63748896).

42534800 is an abundant number, since it is smaller than the sum of its proper divisors (84962992).

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

42534800 is a wasteful number, since it uses less digits than its factorization.

42534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 42534800 is about 6521.8708972196. The cubic root of 42534800 is about 349.0718264440.

It can be divided in two parts, 42534 and 800, that added together give a palindrome (43334).

The spelling of 42534800 in words is "forty-two million, five hundred thirty-four thousand, eight hundred".