4377930480 has 720 divisors, whose sum is σ = 19350770400. Its totient is φ = 876072960.

The previous prime is 4377930463. The next prime is 4377930481. The reversal of 4377930480 is 840397734.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4377930481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11254126 + ... + 11254514.

It is an arithmetic number, because the mean of its divisors is an integer number (26876070).

Almost surely, 2^4377930480 is an apocalyptic number.

4377930480 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 4377930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9675385200).

4377930480 is an abundant number, since it is smaller than the sum of its proper divisors (14972839920).

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

4377930480 is a wasteful number, since it uses less digits than its factorization.

4377930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4377930480 is about 66165.9314148905. The cubic root of 4377930480 is about 1635.8982467107.

The spelling of 4377930480 in words is "four billion, three hundred seventy-seven million, nine hundred thirty thousand, four hundred eighty".