914239872 has 768 divisors, whose sum is σ = 3742502400. Its totient is φ = 214990848.

The previous prime is 914239871. The next prime is 914239873. The reversal of 914239872 is 278932419.

It is an interprime number because it is at equal distance from previous prime (914239871) and next prime (914239873).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914239871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48117879 + ... + 48117897.

It is an arithmetic number, because the mean of its divisors is an integer number (4873050).

Almost surely, 2^914239872 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 914239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871251200).

914239872 is an abundant number, since it is smaller than the sum of its proper divisors (2828262528).

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

914239872 is a wasteful number, since it uses less digits than its factorization.

914239872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 914239872 is about 30236.3997856888. The cubic root of 914239872 is about 970.5547795332.

Adding to 914239872 its product of digits (217728), we get a square (914457600 = 30240²).

It can be divided in two parts, 91 and 4239872, that multiplied together give a cube (385828352 = 728³).

The spelling of 914239872 in words is "nine hundred fourteen million, two hundred thirty-nine thousand, eight hundred seventy-two".