486796800 has 240 divisors, whose sum is σ = 1838846592. Its totient is φ = 111206400.

The previous prime is 486796769. The next prime is 486796801. The reversal of 486796800 is 8697684.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×486796800² = 473942248980480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 486796800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486796801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267895 + ... + 269705.

Almost surely, 2^486796800 is an apocalyptic number.

486796800 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 486796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919423296).

486796800 is an abundant number, since it is smaller than the sum of its proper divisors (1352049792).

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

486796800 is a wasteful number, since it uses less digits than its factorization.

486796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 486796800 is about 22063.4720749024. The cubic root of 486796800 is about 786.6518558289.

The spelling of 486796800 in words is "four hundred eighty-six million, seven hundred ninety-six thousand, eight hundred".