8397451440 has 600 divisors, whose sum is σ = 34636734000. Its totient is φ = 1879428096.

The previous prime is 8397451351. The next prime is 8397451453. The reversal of 8397451440 is 441547938.

8397451440 is a `hidden beast` number, since 8 + 3 + 97 + 4 + 514 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16828311 + ... + 16828809.

It is an arithmetic number, because the mean of its divisors is an integer number (57727890).

Almost surely, 2^8397451440 is an apocalyptic number.

8397451440 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 8397451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17318367000).

8397451440 is an abundant number, since it is smaller than the sum of its proper divisors (26239282560).

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

8397451440 is a wasteful number, since it uses less digits than its factorization.

8397451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 8397451440 is about 91637.6093097152. The cubic root of 8397451440 is about 2032.5871097318.

The spelling of 8397451440 in words is "eight billion, three hundred ninety-seven million, four hundred fifty-one thousand, four hundred forty".