4254476688 has 240 divisors, whose sum is σ = 14912366976. Its totient is φ = 1100021760.

The previous prime is 4254476687. The next prime is 4254476693. The reversal of 4254476688 is 8866744524.

It is a happy number.

4254476688 is a `hidden beast` number, since 42 + 54 + 476 + 6 + 88 = 666.

4254476688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4254476683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2848870 + ... + 2850362.

Almost surely, 2^4254476688 is an apocalyptic number.

4254476688 is a gapful number since it is divisible by the number (48) 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 4254476688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7456183488).

4254476688 is an abundant number, since it is smaller than the sum of its proper divisors (10657890288).

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

4254476688 is a wasteful number, since it uses less digits than its factorization.

4254476688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1773 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 4254476688 is about 65226.3496449096. The cubic root of 4254476688 is about 1620.3744356254.

The spelling of 4254476688 in words is "four billion, two hundred fifty-four million, four hundred seventy-six thousand, six hundred eighty-eight".