8403348240 has 480 divisors, whose sum is σ = 34371966720. Its totient is φ = 1867732992.

The previous prime is 8403348211. The next prime is 8403348259. The reversal of 8403348240 is 428433048.

8403348240 is a `hidden beast` number, since 8 + 403 + 3 + 4 + 8 + 240 = 666.

It is a super-2 number, since 2×8403348240² (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 junction number, because it is equal to n+sod(n) for n = 8403348195 and 8403348204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5034126 + ... + 5035794.

It is an arithmetic number, because the mean of its divisors is an integer number (71608264).

Almost surely, 2^8403348240 is an apocalyptic number.

8403348240 is a gapful number since it is divisible by the number (80) 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 8403348240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17185983360).

8403348240 is an abundant number, since it is smaller than the sum of its proper divisors (25968618480).

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

8403348240 is a wasteful number, since it uses less digits than its factorization.

8403348240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 8403348240 is about 91669.7782259781. The cubic root of 8403348240 is about 2033.0627681435.

The spelling of 8403348240 in words is "eight billion, four hundred three million, three hundred forty-eight thousand, two hundred forty".