42092800 has 54 divisors (see below), whose sum is σ = 104202098. Its totient is φ = 16834560.

The previous prime is 42092797. The next prime is 42092801. The reversal of 42092800 is 829024.

It can be written as a sum of positive squares in 3 ways, for example, as 13191424 + 28901376 = 3632^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42092801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3112 + ... + 9688.

Almost surely, 2^42092800 is an apocalyptic number.

42092800 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 42092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52101049).

42092800 is an abundant number, since it is smaller than the sum of its proper divisors (62109298).

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

42092800 is an equidigital number, since it uses as much as digits as its factorization.

42092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 42092800 is about 6487.8964233409. The cubic root of 42092800 is about 347.8584882859.

The spelling of 42092800 in words is "forty-two million, ninety-two thousand, eight hundred".