4959754800 has 480 divisors, whose sum is σ = 21336967680. Its totient is φ = 951091200.

The previous prime is 4959754769. The next prime is 4959754801. The reversal of 4959754800 is 84579594.

It is a super-2 number, since 2×4959754800² = 49198335352246080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4959754801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1199136 + ... + 1203264.

It is an arithmetic number, because the mean of its divisors is an integer number (44452016).

Almost surely, 2^4959754800 is an apocalyptic number.

4959754800 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 4959754800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668483840).

4959754800 is an abundant number, since it is smaller than the sum of its proper divisors (16377212880).

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

4959754800 is a wasteful number, since it uses less digits than its factorization.

4959754800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 4959754800 is about 70425.5266220992. The cubic root of 4959754800 is about 1705.3756937059.

The spelling of 4959754800 in words is "four billion, nine hundred fifty-nine million, seven hundred fifty-four thousand, eight hundred".