42477200 has 60 divisors (see below), whose sum is σ = 103142208. Its totient is φ = 16809600.

The previous prime is 42477187. The next prime is 42477229. The reversal of 42477200 is 277424.

It is a self number, because there is not a number n which added to its sum of digits gives 42477200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40685 + ... + 41715.

Almost surely, 2^42477200 is an apocalyptic number.

42477200 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 42477200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51571104).

42477200 is an abundant number, since it is smaller than the sum of its proper divisors (60665008).

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

42477200 is a wasteful number, since it uses less digits than its factorization.

42477200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 42477200 is about 6517.4534904363. The cubic root of 42477200 is about 348.9141859549.

The spelling of 42477200 in words is "forty-two million, four hundred seventy-seven thousand, two hundred".