4257997524 has 96 divisors (see below), whose sum is σ = 12299212800. Its totient is φ = 1262832480.

The previous prime is 4257997493. The next prime is 4257997547.

4257997524 is a `hidden beast` number, since 4 + 25 + 7 + 9 + 97 + 524 = 666.

4257997524 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17707 + ... + 93965.

It is an arithmetic number, because the mean of its divisors is an integer number (128116800).

Almost surely, 2^4257997524 is an apocalyptic number.

4257997524 is a gapful number since it is divisible by the number (44) 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 4257997524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149606400).

4257997524 is an abundant number, since it is smaller than the sum of its proper divisors (8041215276).

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

4257997524 is a wasteful number, since it uses less digits than its factorization.

4257997524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76330 (or 76322 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 4257997524 is about 65253.3334320937. Note that the first 3 decimals coincide. The cubic root of 4257997524 is about 1620.8212982302.

The spelling of 4257997524 in words is "four billion, two hundred fifty-seven million, nine hundred ninety-seven thousand, five hundred twenty-four".