4960800 has 216 divisors, whose sum is σ = 19194084. Its totient is φ = 1198080.

The previous prime is 4960763. The next prime is 4960807. The reversal of 4960800 is 80694.

It can be written as a sum of positive squares in 6 ways, for example, as 1411344 + 3549456 = 1188^2 + 1884^2 .

It is not an unprimeable number, because it can be changed into a prime (4960807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93574 + ... + 93626.

Almost surely, 2^4960800 is an apocalyptic number.

4960800 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 4960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9597042).

4960800 is an abundant number, since it is smaller than the sum of its proper divisors (14233284).

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

4960800 is a wasteful number, since it uses less digits than its factorization.

4960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4960800 is about 2227.2853431925. The cubic root of 4960800 is about 170.5495480103.

The spelling of 4960800 in words is "four million, nine hundred sixty thousand, eight hundred".