4257249000 has 64 divisors (see below), whose sum is σ = 13282626240. Its totient is φ = 1135265600.

The previous prime is 4257248999. The next prime is 4257249011. The reversal of 4257249000 is 9427524.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706542 + ... + 712541.

It is an arithmetic number, because the mean of its divisors is an integer number (207541035).

Almost surely, 2^4257249000 is an apocalyptic number.

4257249000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4257249000 is an abundant number, since it is smaller than the sum of its proper divisors (9025377240).

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

4257249000 is a wasteful number, since it uses less digits than its factorization.

4257249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419107 (or 1419093 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4257249000 is about 65247.5976569253. The cubic root of 4257249000 is about 1620.7263165921.

The spelling of 4257249000 in words is "four billion, two hundred fifty-seven million, two hundred forty-nine thousand".