42487200 has 288 divisors, whose sum is σ = 176238720. Its totient is φ = 9676800.

The previous prime is 42487189. The next prime is 42487229. The reversal of 42487200 is 278424.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151060 + ... + 151340.

It is an arithmetic number, because the mean of its divisors is an integer number (611940).

Almost surely, 2^42487200 is an apocalyptic number.

42487200 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 42487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88119360).

42487200 is an abundant number, since it is smaller than the sum of its proper divisors (133751520).

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

42487200 is a wasteful number, since it uses less digits than its factorization.

42487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

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

The square root of 42487200 is about 6518.2206160884. The cubic root of 42487200 is about 348.9415643139.

The spelling of 42487200 in words is "forty-two million, four hundred eighty-seven thousand, two hundred".