4934800 has 90 divisors (see below), whose sum is σ = 13013862. Its totient is φ = 1797120.

The previous prime is 4934791. The next prime is 4934807. The reversal of 4934800 is 84394.

It can be written as a sum of positive squares in 9 ways, for example, as 2985984 + 1948816 = 1728^2 + 1396^2 .

It is not an unprimeable number, because it can be changed into a prime (4934807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67564 + ... + 67636.

Almost surely, 2^4934800 is an apocalyptic number.

4934800 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 4934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506931).

4934800 is an abundant number, since it is smaller than the sum of its proper divisors (8079062).

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

4934800 is a wasteful number, since it uses less digits than its factorization.

4934800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4934800 is about 2221.4409737826. The cubic root of 4934800 is about 170.2510707675.

It can be divided in two parts, 493 and 4800, that multiplied together give a triangular number (2366400 = T₂₁₇₅).

The spelling of 4934800 in words is "four million, nine hundred thirty-four thousand, eight hundred".