42457800 has 192 divisors, whose sum is σ = 164275200. Its totient is φ = 8812800.

The previous prime is 42457783. The next prime is 42457801. The reversal of 42457800 is 875424.

42457800 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 (30).

It is not an unprimeable number, because it can be changed into a prime (42457801) 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 47 ways as a sum of consecutive naturals, for example, 45741 + ... + 46659.

It is an arithmetic number, because the mean of its divisors is an integer number (855600).

Almost surely, 2^42457800 is an apocalyptic number.

42457800 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 42457800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82137600).

42457800 is an abundant number, since it is smaller than the sum of its proper divisors (121817400).

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

42457800 is a wasteful number, since it uses less digits than its factorization.

42457800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 42457800 is about 6515.9650091142. The cubic root of 42457800 is about 348.8610596819.

The spelling of 42457800 in words is "forty-two million, four hundred fifty-seven thousand, eight hundred".