8405153280 has 240 divisors, whose sum is σ = 29205880704. Its totient is φ = 2233958400.

The previous prime is 8405153261. The next prime is 8405153293. The reversal of 8405153280 is 823515048.

It is a happy number.

8405153280 is a `hidden beast` number, since 8 + 40 + 5 + 1 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13846737 + ... + 13847343.

Almost surely, 2^8405153280 is an apocalyptic number.

8405153280 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 8405153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602940352).

8405153280 is an abundant number, since it is smaller than the sum of its proper divisors (20800727424).

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

8405153280 is a wasteful number, since it uses less digits than its factorization.

8405153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1218 counting only the distinct ones).

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

The square root of 8405153280 is about 91679.6230358742. The cubic root of 8405153280 is about 2033.2083250807.

The spelling of 8405153280 in words is "eight billion, four hundred five million, one hundred fifty-three thousand, two hundred eighty".