4798130400 has 864 divisors, whose sum is σ = 20746672128. Its totient is φ = 1020211200.

The previous prime is 4798130399. The next prime is 4798130419. The reversal of 4798130400 is 40318974.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57808759 + ... + 57808841.

It is an arithmetic number, because the mean of its divisors is an integer number (24012352).

Almost surely, 2^4798130400 is an apocalyptic number.

4798130400 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 4798130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373336064).

4798130400 is an abundant number, since it is smaller than the sum of its proper divisors (15948541728).

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

4798130400 is a wasteful number, since it uses less digits than its factorization.

4798130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4798130400 is about 69268.5383128589. The cubic root of 4798130400 is about 1686.6462908136.

The spelling of 4798130400 in words is "four billion, seven hundred ninety-eight million, one hundred thirty thousand, four hundred".