4387854240 has 480 divisors, whose sum is σ = 19310949504. Its totient is φ = 911554560.

The previous prime is 4387854223. The next prime is 4387854287. The reversal of 4387854240 is 424587834.

It is a happy number.

4387854240 is a `hidden beast` number, since 4 + 38 + 78 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 995722 + ... + 1000118.

Almost surely, 2^4387854240 is an apocalyptic number.

4387854240 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 4387854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9655474752).

4387854240 is an abundant number, since it is smaller than the sum of its proper divisors (14923095264).

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

4387854240 is a wasteful number, since it uses less digits than its factorization.

4387854240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 4387854240 is about 66240.8804289315. The cubic root of 4387854240 is about 1637.1333820971.

The spelling of 4387854240 in words is "four billion, three hundred eighty-seven million, eight hundred fifty-four thousand, two hundred forty".