8454774240 has 432 divisors, whose sum is σ = 32935397040. Its totient is φ = 1958584320.

The previous prime is 8454774227. The next prime is 8454774241. The reversal of 8454774240 is 424774548.

8454774240 is a `hidden beast` number, since 84 + 547 + 7 + 4 + 24 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8454774241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8378856 + ... + 8379864.

It is an arithmetic number, because the mean of its divisors is an integer number (76239345).

Almost surely, 2^8454774240 is an apocalyptic number.

8454774240 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 8454774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467698520).

8454774240 is an abundant number, since it is smaller than the sum of its proper divisors (24480622800).

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

8454774240 is a wasteful number, since it uses less digits than its factorization.

8454774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The square root of 8454774240 is about 91949.8463293985. The cubic root of 8454774240 is about 2037.2015839569.

The spelling of 8454774240 in words is "eight billion, four hundred fifty-four million, seven hundred seventy-four thousand, two hundred forty".