4245864480 has 960 divisors, whose sum is σ = 18441561600. Its totient is φ = 905748480.

The previous prime is 4245864463. The next prime is 4245864481. The reversal of 4245864480 is 844685424.

4245864480 is a `hidden beast` number, since 4 + 24 + 586 + 4 + 48 + 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 (4245864481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53745081 + ... + 53745159.

It is an arithmetic number, because the mean of its divisors is an integer number (19209960).

Almost surely, 2^4245864480 is an apocalyptic number.

4245864480 is a gapful number since it is divisible by the number (40) 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 4245864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220780800).

4245864480 is an abundant number, since it is smaller than the sum of its proper divisors (14195697120).

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

4245864480 is a wasteful number, since it uses less digits than its factorization.

4245864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The square root of 4245864480 is about 65160.2983418584. The cubic root of 4245864480 is about 1619.2803387846.

The spelling of 4245864480 in words is "four billion, two hundred forty-five million, eight hundred sixty-four thousand, four hundred eighty".