4335252480 has 264 divisors, whose sum is σ = 16179275112. Its totient is φ = 1066991616.

The previous prime is 4335252479. The next prime is 4335252491. The reversal of 4335252480 is 842525334.

4335252480 is a `hidden beast` number, since 4 + 3 + 3 + 52 + 524 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 185831424 + 4149421056 = 13632^2 + 64416^2 .

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 23 ways as a sum of consecutive naturals, for example, 595422 + ... + 602658.

It is an arithmetic number, because the mean of its divisors is an integer number (61285133).

Almost surely, 2^4335252480 is an apocalyptic number.

4335252480 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 4335252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089637556).

4335252480 is an abundant number, since it is smaller than the sum of its proper divisors (11844022632).

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

4335252480 is a wasteful number, since it uses less digits than its factorization.

4335252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4335252480 is about 65842.6342121881. The cubic root of 4335252480 is about 1630.5650593400.

The spelling of 4335252480 in words is "four billion, three hundred thirty-five million, two hundred fifty-two thousand, four hundred eighty".