4577478480 has 480 divisors, whose sum is σ = 17792611200. Its totient is φ = 1088391168.

The previous prime is 4577478439. The next prime is 4577478583. The reversal of 4577478480 is 848747754.

It is a super-2 number, since 2×4577478480² = 41906618469726220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 240919911 + ... + 240919929.

It is an arithmetic number, because the mean of its divisors is an integer number (37067940).

Almost surely, 2^4577478480 is an apocalyptic number.

4577478480 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 4577478480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896305600).

4577478480 is an abundant number, since it is smaller than the sum of its proper divisors (13215132720).

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

4577478480 is an equidigital number, since it uses as much as digits as its factorization.

4577478480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The square root of 4577478480 is about 67657.0652629864. The cubic root of 4577478480 is about 1660.3848819658.

The spelling of 4577478480 in words is "four billion, five hundred seventy-seven million, four hundred seventy-eight thousand, four hundred eighty".