1865257248 has 96 divisors (see below), whose sum is σ = 4959360000. Its totient is φ = 613806336.

The previous prime is 1865257241. The next prime is 1865257253. The reversal of 1865257248 is 8427525681.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1865257197 and 1865257206.

It is not an unprimeable number, because it can be changed into a prime (1865257241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3113653 + ... + 3114251.

It is an arithmetic number, because the mean of its divisors is an integer number (51660000).

Almost surely, 2^1865257248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1865257248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479680000).

1865257248 is an abundant number, since it is smaller than the sum of its proper divisors (3094102752).

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

1865257248 is a wasteful number, since it uses less digits than its factorization.

1865257248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 966 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The square root of 1865257248 is about 43188.6240577308. The cubic root of 1865257248 is about 1230.9665322572.

The spelling of 1865257248 in words is "one billion, eight hundred sixty-five million, two hundred fifty-seven thousand, two hundred forty-eight".