4449078480 has 480 divisors, whose sum is σ = 17693296128. Its totient is φ = 914457600.

The previous prime is 4449078479. The next prime is 4449078499. The reversal of 4449078480 is 848709444.

It is a super-2 number, since 2×4449078480² = 39588598642398220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21085575 + ... + 21085785.

Almost surely, 2^4449078480 is an apocalyptic number.

4449078480 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 4449078480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8846648064).

4449078480 is an abundant number, since it is smaller than the sum of its proper divisors (13244217648).

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

4449078480 is a wasteful number, since it uses less digits than its factorization.

4449078480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 4449078480 is about 66701.4128785890. The cubic root of 4449078480 is about 1644.7126101234.

The spelling of 4449078480 in words is "four billion, four hundred forty-nine million, seventy-eight thousand, four hundred eighty".