8403085152 has 480 divisors, whose sum is σ = 31297964544. Its totient is φ = 2148249600.

The previous prime is 8403085151. The next prime is 8403085157. The reversal of 8403085152 is 2515803048.

It is a happy number.

It is a super-2 number, since 2×8403085152² (a number of 21 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (8403085151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14170168 + ... + 14170760.

Almost surely, 2^8403085152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8403085152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15648982272).

8403085152 is an abundant number, since it is smaller than the sum of its proper divisors (22894879392).

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

8403085152 is a wasteful number, since it uses less digits than its factorization.

8403085152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8403085152 is about 91668.3432380012. The cubic root of 8403085152 is about 2033.0415512038.

The spelling of 8403085152 in words is "eight billion, four hundred three million, eighty-five thousand, one hundred fifty-two".