42478200 has 72 divisors (see below), whose sum is σ = 142662000. Its totient is φ = 11327040.

The previous prime is 42478193. The next prime is 42478211. The reversal of 42478200 is 287424.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10000 + ... + 13599.

Almost surely, 2^42478200 is an apocalyptic number.

42478200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42478200 is an abundant number, since it is smaller than the sum of its proper divisors (100183800).

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

42478200 is a wasteful number, since it uses less digits than its factorization.

42478200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23621 (or 23609 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42478200 is about 6517.5302070646. The cubic root of 42478200 is about 348.9169239841.

The spelling of 42478200 in words is "forty-two million, four hundred seventy-eight thousand, two hundred".