42552300 has 144 divisors (see below), whose sum is σ = 146990592. Its totient is φ = 9292800.

The previous prime is 42552299. The next prime is 42552311. The reversal of 42552300 is 325524.

42552300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47860 + ... + 48740.

It is an arithmetic number, because the mean of its divisors is an integer number (1020768).

Almost surely, 2^42552300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42552300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73495296).

42552300 is an abundant number, since it is smaller than the sum of its proper divisors (104438292).

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

42552300 is a wasteful number, since it uses less digits than its factorization.

42552300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 42552300 is about 6523.2123988109. The cubic root of 42552300 is about 349.1196925002.

Adding to 42552300 its reverse (325524), we get a palindrome (42877824).

It can be divided in two parts, 4255 and 2300, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 42552300 in words is "forty-two million, five hundred fifty-two thousand, three hundred".