4879598400 has 504 divisors, whose sum is σ = 18985284864. Its totient is φ = 1183334400.

The previous prime is 4879598357. The next prime is 4879598401. The reversal of 4879598400 is 48959784.

4879598400 is a `hidden beast` number, since 4 + 8 + 7 + 9 + 598 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4879598401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7588479 + ... + 7589121.

It is an arithmetic number, because the mean of its divisors is an integer number (37669216).

Almost surely, 2^4879598400 is an apocalyptic number.

4879598400 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 4879598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9492642432).

4879598400 is an abundant number, since it is smaller than the sum of its proper divisors (14105686464).

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

4879598400 is a wasteful number, since it uses less digits than its factorization.

4879598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4879598400 is about 69854.1222835131. The cubic root of 4879598400 is about 1696.1386871873.

The spelling of 4879598400 in words is "four billion, eight hundred seventy-nine million, five hundred ninety-eight thousand, four hundred".