482760400 has 60 divisors (see below), whose sum is σ = 1161945100. Its totient is φ = 192752640.

The previous prime is 482760391. The next prime is 482760403. The reversal of 482760400 is 4067284.

It can be written as a sum of positive squares in 6 ways, for example, as 74235456 + 408524944 = 8616^2 + 20212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482760403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427036 + ... + 428164.

Almost surely, 2^482760400 is an apocalyptic number.

482760400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482760400 is an abundant number, since it is smaller than the sum of its proper divisors (679184700).

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

482760400 is a wasteful number, since it uses less digits than its factorization.

482760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 482760400 is about 21971.8092108957. The cubic root of 482760400 is about 784.4715769720.

The spelling of 482760400 in words is "four hundred eighty-two million, seven hundred sixty thousand, four hundred".