642251200 has 42 divisors (see below), whose sum is σ = 1580343296. Its totient is φ = 256899840.

The previous prime is 642251179. The next prime is 642251209. The reversal of 642251200 is 2152246.

642251200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642251209) 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, 199104 + ... + 202303.

Almost surely, 2^642251200 is an apocalyptic number.

It is an amenable number.

642251200 is an abundant number, since it is smaller than the sum of its proper divisors (938092096).

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

642251200 is a wasteful number, since it uses less digits than its factorization.

642251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401429 (or 401414 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 642251200 is about 25342.6754704392. The cubic root of 642251200 is about 862.7831234631.

The spelling of 642251200 in words is "six hundred forty-two million, two hundred fifty-one thousand, two hundred".