42358400 has 192 divisors, whose sum is σ = 125468160. Its totient is φ = 13824000.

The previous prime is 42358361. The next prime is 42358409. The reversal of 42358400 is 485324.

It is a self number, because there is not a number n which added to its sum of digits gives 42358400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42358409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694370 + ... + 694430.

It is an arithmetic number, because the mean of its divisors is an integer number (653480).

Almost surely, 2^42358400 is an apocalyptic number.

42358400 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 42358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62734080).

42358400 is an abundant number, since it is smaller than the sum of its proper divisors (83109760).

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

42358400 is a wasteful number, since it uses less digits than its factorization.

42358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 42358400 is about 6508.3331199317. Note that the first 3 decimals coincide. The cubic root of 42358400 is about 348.5886018081.

The spelling of 42358400 in words is "forty-two million, three hundred fifty-eight thousand, four hundred".