42400368 has 80 divisors (see below), whose sum is σ = 123776800. Its totient is φ = 13893120.

The previous prime is 42400367. The next prime is 42400373. The reversal of 42400368 is 86300424.

42400368 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42400361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25548 + ... + 27156.

It is an arithmetic number, because the mean of its divisors is an integer number (1547210).

Almost surely, 2^42400368 is an apocalyptic number.

42400368 is a gapful number since it is divisible by the number (48) 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 42400368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61888400).

42400368 is an abundant number, since it is smaller than the sum of its proper divisors (81376432).

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

42400368 is a wasteful number, since it uses less digits than its factorization.

42400368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42400368 is about 6511.5564959539. The cubic root of 42400368 is about 348.7036890755.

The spelling of 42400368 in words is "forty-two million, four hundred thousand, three hundred sixty-eight".