42552360 has 144 divisors (see below), whose sum is σ = 147267900. Its totient is φ = 10653696.

The previous prime is 42552347. The next prime is 42552371. The reversal of 42552360 is 6325524.

42552360 is a `hidden beast` number, since 425 + 5 + 236 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38415204 + 4137156 = 6198^2 + 2034^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103836 + ... + 104244.

Almost surely, 2^42552360 is an apocalyptic number.

42552360 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 42552360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73633950).

42552360 is an abundant number, since it is smaller than the sum of its proper divisors (104715540).

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

42552360 is a wasteful number, since it uses less digits than its factorization.

42552360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42552360 is about 6523.2169977703. The cubic root of 42552360 is about 349.1198565898.

Adding to 42552360 its reverse (6325524), we get a palindrome (48877884).

The spelling of 42552360 in words is "forty-two million, five hundred fifty-two thousand, three hundred sixty".