484275600 has 360 divisors, whose sum is σ = 1832273352. Its totient is φ = 117964800.

The previous prime is 484275581. The next prime is 484275601. The reversal of 484275600 is 6572484.

484275600 is a `hidden beast` number, since 4 + 8 + 42 + 7 + 5 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 251285904 + 232989696 = 15852^2 + 15264^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (484275601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2509104 + ... + 2509296.

Almost surely, 2^484275600 is an apocalyptic number.

484275600 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 484275600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916136676).

484275600 is an abundant number, since it is smaller than the sum of its proper divisors (1347997752).

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

484275600 is a wasteful number, since it uses less digits than its factorization.

484275600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 484275600 is about 22006.2627449551. The cubic root of 484275600 is about 785.2914384357.

The spelling of 484275600 in words is "four hundred eighty-four million, two hundred seventy-five thousand, six hundred".