484473600 has 324 divisors, whose sum is σ = 1868224176. Its totient is φ = 119070720.

The previous prime is 484473593. The next prime is 484473617. The reversal of 484473600 is 6374484.

484473600 is a `hidden beast` number, since 4 + 8 + 4 + 47 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748477 + ... + 749123.

It is an arithmetic number, because the mean of its divisors is an integer number (5766124).

Almost surely, 2^484473600 is an apocalyptic number.

484473600 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 484473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934112088).

484473600 is an abundant number, since it is smaller than the sum of its proper divisors (1383750576).

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

484473600 is a wasteful number, since it uses less digits than its factorization.

484473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 484473600 is about 22010.7610045632. The cubic root of 484473600 is about 785.3984481073.

The spelling of 484473600 in words is "four hundred eighty-four million, four hundred seventy-three thousand, six hundred".