42647200 has 36 divisors (see below), whose sum is σ = 104114430. Its totient is φ = 17058560.

The previous prime is 42647179. The next prime is 42647207. The reversal of 42647200 is 274624.

It can be written as a sum of positive squares in 3 ways, for example, as 27499536 + 15147664 = 5244^2 + 3892^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42647207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25855 + ... + 27454.

Almost surely, 2^42647200 is an apocalyptic number.

42647200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42647200 is an abundant number, since it is smaller than the sum of its proper divisors (61467230).

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

42647200 is a wasteful number, since it uses less digits than its factorization.

42647200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53329 (or 53316 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 42647200 is about 6530.4823711576. The cubic root of 42647200 is about 349.3790349987.

The spelling of 42647200 in words is "forty-two million, six hundred forty-seven thousand, two hundred".