4257317232 has 240 divisors, whose sum is σ = 14865992960. Its totient is φ = 1152216576.

The previous prime is 4257317219. The next prime is 4257317243. The reversal of 4257317232 is 2327137524.

4257317232 is a `hidden beast` number, since 42 + 573 + 17 + 2 + 32 = 666.

It is a super-3 number, since 3×4257317232³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

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, 512988 + ... + 521220.

Almost surely, 2^4257317232 is an apocalyptic number.

4257317232 is a gapful number since it is divisible by the number (42) 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 4257317232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432996480).

4257317232 is an abundant number, since it is smaller than the sum of its proper divisors (10608675728).

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

4257317232 is a wasteful number, since it uses less digits than its factorization.

4257317232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8264 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 4257317232 is about 65248.1205246557. The cubic root of 4257317232 is about 1620.7349751419.

It can be divided in two parts, 4257 and 317232, that added together give a square (321489 = 567²).

The spelling of 4257317232 in words is "four billion, two hundred fifty-seven million, three hundred seventeen thousand, two hundred thirty-two".