4245335424 has 384 divisors, whose sum is σ = 14022927360. Its totient is φ = 1221120000.

The previous prime is 4245335407. The next prime is 4245335429.

4245335424 is a `hidden beast` number, since 42 + 45 + 33 + 542 + 4 = 666.

4245335424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×4245335424³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4245335429) 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, 39675979 + ... + 39676085.

It is an arithmetic number, because the mean of its divisors is an integer number (36518040).

Almost surely, 2^4245335424 is an apocalyptic number.

4245335424 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 4245335424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011463680).

4245335424 is an abundant number, since it is smaller than the sum of its proper divisors (9777591936).

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

4245335424 is a wasteful number, since it uses less digits than its factorization.

4245335424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 4245335424 is about 65156.2385654666. The cubic root of 4245335424 is about 1619.2130791749.

It can be divided in two parts, 42453 and 35424, that added together give a palindrome (77877).

The spelling of 4245335424 in words is "four billion, two hundred forty-five million, three hundred thirty-five thousand, four hundred twenty-four".