42408600 has 96 divisors (see below), whose sum is σ = 141605520. Its totient is φ = 10437120.

The previous prime is 42408581. The next prime is 42408607. The reversal of 42408600 is 680424.

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 (42408607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5082 + ... + 10518.

Almost surely, 2^42408600 is an apocalyptic number.

42408600 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 42408600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70802760).

42408600 is an abundant number, since it is smaller than the sum of its proper divisors (99196920).

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

42408600 is a wasteful number, since it uses less digits than its factorization.

42408600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42408600 is about 6512.1885722083. The cubic root of 42408600 is about 348.7262544694.

The spelling of 42408600 in words is "forty-two million, four hundred eight thousand, six hundred".