484915200 has 576 divisors, whose sum is σ = 2047368960. Its totient is φ = 98304000.

The previous prime is 484915147. The next prime is 484915201. The reversal of 484915200 is 2519484.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484915201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11827180 + ... + 11827220.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^484915200 is an apocalyptic number.

484915200 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 484915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023684480).

484915200 is an abundant number, since it is smaller than the sum of its proper divisors (1562453760).

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

484915200 is a wasteful number, since it uses less digits than its factorization.

484915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 484915200 is about 22020.7901765582. The cubic root of 484915200 is about 785.6370071182.

It can be divided in two parts, 48 and 4915200, that multiplied together give a square (235929600 = 15360²).

The spelling of 484915200 in words is "four hundred eighty-four million, nine hundred fifteen thousand, two hundred".