42262800 has 120 divisors (see below), whose sum is σ = 138845280. Its totient is φ = 10982400.

The previous prime is 42262777. The next prime is 42262817. The reversal of 42262800 is 826224.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×42262800² = 3572288527680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48771 + ... + 49629.

It is an arithmetic number, because the mean of its divisors is an integer number (1157044).

Almost surely, 2^42262800 is an apocalyptic number.

42262800 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 42262800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69422640).

42262800 is an abundant number, since it is smaller than the sum of its proper divisors (96582480).

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

42262800 is a wasteful number, since it uses less digits than its factorization.

42262800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

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

The square root of 42262800 is about 6500.9845408215. The cubic root of 42262800 is about 348.3261574239.

The spelling of 42262800 in words is "forty-two million, two hundred sixty-two thousand, eight hundred".