4179600480 has 384 divisors, whose sum is σ = 15160836096. Its totient is φ = 958003200.

The previous prime is 4179600479. The next prime is 4179600493. The reversal of 4179600480 is 840069714.

It is a happy number.

4179600480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15422745 + ... + 15423015.

It is an arithmetic number, because the mean of its divisors is an integer number (39481344).

Almost surely, 2^4179600480 is an apocalyptic number.

4179600480 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 4179600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7580418048).

4179600480 is an abundant number, since it is smaller than the sum of its proper divisors (10981235616).

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

4179600480 is a wasteful number, since it uses less digits than its factorization.

4179600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 4179600480 is about 64649.8296981516. The cubic root of 4179600480 is about 1610.8122491260.

The spelling of 4179600480 in words is "four billion, one hundred seventy-nine million, six hundred thousand, four hundred eighty".