42598800 has 90 divisors (see below), whose sum is σ = 147842162. Its totient is φ = 11358720.

The previous prime is 42598799. The next prime is 42598807. The reversal of 42598800 is 889524.

It can be written as a sum of positive squares in 3 ways, for example, as 10653696 + 31945104 = 3264^2 + 5652^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×42598800² = 3629315522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42598807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2317 + ... + 9516.

Almost surely, 2^42598800 is an apocalyptic number.

42598800 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 42598800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73921081).

42598800 is an abundant number, since it is smaller than the sum of its proper divisors (105243362).

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

42598800 is a wasteful number, since it uses less digits than its factorization.

42598800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11857 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 42598800 is about 6526.7756204729. The cubic root of 42598800 is about 349.2468157180.

It can be divided in two parts, 425 and 98800, that added together give a square (99225 = 315²).

The spelling of 42598800 in words is "forty-two million, five hundred ninety-eight thousand, eight hundred".