4287185280 has 768 divisors, whose sum is σ = 18410918400. Its totient is φ = 923332608.

The previous prime is 4287185249. The next prime is 4287185291. The reversal of 4287185280 is 825817824.

It is a happy number.

4287185280 is a `hidden beast` number, since 42 + 87 + 1 + 8 + 528 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63987807 + ... + 63987873.

It is an arithmetic number, because the mean of its divisors is an integer number (23972550).

Almost surely, 2^4287185280 is an apocalyptic number.

4287185280 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 4287185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9205459200).

4287185280 is an abundant number, since it is smaller than the sum of its proper divisors (14123733120).

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

4287185280 is a wasteful number, since it uses less digits than its factorization.

4287185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 4287185280 is about 65476.6010113537. The cubic root of 4287185280 is about 1624.5163411092.

The spelling of 4287185280 in words is "four billion, two hundred eighty-seven million, one hundred eighty-five thousand, two hundred eighty".