1917248256 has 432 divisors, whose sum is σ = 7025211648. Its totient is φ = 488448000.

The previous prime is 1917248251. The next prime is 1917248269. The reversal of 1917248256 is 6528427191.

It is not an unprimeable number, because it can be changed into a prime (1917248251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17918155 + ... + 17918261.

It is an arithmetic number, because the mean of its divisors is an integer number (16262064).

Almost surely, 2^1917248256 is an apocalyptic number.

1917248256 is a gapful number since it is divisible by the number (16) 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 1917248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512605824).

1917248256 is an abundant number, since it is smaller than the sum of its proper divisors (5107963392).

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

1917248256 is a wasteful number, since it uses less digits than its factorization.

1917248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1917248256 is about 43786.3935030050. The cubic root of 1917248256 is about 1242.2989470741.

The spelling of 1917248256 in words is "one billion, nine hundred seventeen million, two hundred forty-eight thousand, two hundred fifty-six".