4380825456 has 240 divisors, whose sum is σ = 15018991104. Its totient is φ = 1164658176.

The previous prime is 4380825451. The next prime is 4380825511. The reversal of 4380825456 is 6545280834.

4380825456 is a `hidden beast` number, since 43 + 80 + 82 + 5 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4380825451) 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, 855255 + ... + 860361.

Almost surely, 2^4380825456 is an apocalyptic number.

4380825456 is a gapful number since it is divisible by the number (46) 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 4380825456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7509495552).

4380825456 is an abundant number, since it is smaller than the sum of its proper divisors (10638165648).

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

4380825456 is a wasteful number, since it uses less digits than its factorization.

4380825456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 4380825456 is about 66187.8044355605. The cubic root of 4380825456 is about 1636.2587551499.

The spelling of 4380825456 in words is "four billion, three hundred eighty million, eight hundred twenty-five thousand, four hundred fifty-six".