4227987456 has 480 divisors, whose sum is σ = 15792416640. Its totient is φ = 1094860800.

The previous prime is 4227987437. The next prime is 4227987461. The reversal of 4227987456 is 6547897224.

4227987456 is a `hidden beast` number, since 42 + 2 + 79 + 87 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12773211 + ... + 12773541.

It is an arithmetic number, because the mean of its divisors is an integer number (32900868).

Almost surely, 2^4227987456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4227987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896208320).

4227987456 is an abundant number, since it is smaller than the sum of its proper divisors (11564429184).

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

4227987456 is a wasteful number, since it uses less digits than its factorization.

4227987456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 354 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 4227987456 is about 65022.9763698956. The cubic root of 4227987456 is about 1617.0045056858.

The spelling of 4227987456 in words is "four billion, two hundred twenty-seven million, nine hundred eighty-seven thousand, four hundred fifty-six".