4382479920 has 320 divisors, whose sum is σ = 17262895104. Its totient is φ = 894689280.

The previous prime is 4382479897. The next prime is 4382479921. The reversal of 4382479920 is 299742834.

It is a super-2 number, since 2×4382479920² = 38412260498406412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4382479920.

It is not an unprimeable number, because it can be changed into a prime (4382479921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 673804 + ... + 680276.

Almost surely, 2^4382479920 is an apocalyptic number.

4382479920 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 4382479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631447552).

4382479920 is an abundant number, since it is smaller than the sum of its proper divisors (12880415184).

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

4382479920 is a wasteful number, since it uses less digits than its factorization.

4382479920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6540 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 4382479920 is about 66200.3015098874. The cubic root of 4382479920 is about 1636.4647125668.

The spelling of 4382479920 in words is "four billion, three hundred eighty-two million, four hundred seventy-nine thousand, nine hundred twenty".