4958199600 has 360 divisors, whose sum is σ = 17477207280. Its totient is φ = 1201500160.

The previous prime is 4958199563. The next prime is 4958199601. The reversal of 4958199600 is 69918594.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4958199601) 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, 170972386 + ... + 170972414.

It is an arithmetic number, because the mean of its divisors is an integer number (48547798).

Almost surely, 2^4958199600 is an apocalyptic number.

4958199600 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 4958199600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738603640).

4958199600 is an abundant number, since it is smaller than the sum of its proper divisors (12519007680).

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

4958199600 is a wasteful number, since it uses less digits than its factorization.

4958199600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 4958199600 is about 70414.4843054325. The cubic root of 4958199600 is about 1705.1974269941.

Multiplying 4958199600 by its sum of digits (51), we get a square (252868179600 = 502860²).

4958199600 divided by its sum of digits (51) gives a square (97219600 = 9860²).

The spelling of 4958199600 in words is "four billion, nine hundred fifty-eight million, one hundred ninety-nine thousand, six hundred".