4248174240 has 288 divisors, whose sum is σ = 15111847296. Its totient is φ = 1085736960.

The previous prime is 4248174233. The next prime is 4248174253. The reversal of 4248174240 is 424718424.

4248174240 is a `hidden beast` number, since 4 + 248 + 174 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4248174195 and 4248174204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3782319 + ... + 3783441.

It is an arithmetic number, because the mean of its divisors is an integer number (52471692).

Almost surely, 2^4248174240 is an apocalyptic number.

4248174240 is a gapful number since it is divisible by the number (40) 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 4248174240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555923648).

4248174240 is an abundant number, since it is smaller than the sum of its proper divisors (10863673056).

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

4248174240 is a wasteful number, since it uses less digits than its factorization.

4248174240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 4248174240 is about 65178.0196078402. The cubic root of 4248174240 is about 1619.5739162929.

The spelling of 4248174240 in words is "four billion, two hundred forty-eight million, one hundred seventy-four thousand, two hundred forty".