8405457480 has 224 divisors, whose sum is σ = 32407012800. Its totient is φ = 1921200768.

The previous prime is 8405457457. The next prime is 8405457503. The reversal of 8405457480 is 847545048.

It is an interprime number because it is at equal distance from previous prime (8405457457) and next prime (8405457503).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 183531 + ... + 224709.

Almost surely, 2^8405457480 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 8405457480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16203506400).

8405457480 is an abundant number, since it is smaller than the sum of its proper divisors (24001555320).

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

8405457480 is a wasteful number, since it uses less digits than its factorization.

8405457480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41215 (or 41196 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 8405457480 is about 91681.2820590986. The cubic root of 8405457480 is about 2033.2328534659.

The spelling of 8405457480 in words is "eight billion, four hundred five million, four hundred fifty-seven thousand, four hundred eighty".