42466800 has 120 divisors (see below), whose sum is σ = 139368064. Its totient is φ = 11047680.

The previous prime is 42466793. The next prime is 42466819. The reversal of 42466800 is 866424.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 51189 + ... + 52011.

Almost surely, 2^42466800 is an apocalyptic number.

42466800 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 42466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69684032).

42466800 is an abundant number, since it is smaller than the sum of its proper divisors (96901264).

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

42466800 is a wasteful number, since it uses less digits than its factorization.

42466800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 42466800 is about 6516.6555839633. The cubic root of 42466800 is about 348.8857079030.

The spelling of 42466800 in words is "forty-two million, four hundred sixty-six thousand, eight hundred".