484902400 has 120 divisors (see below), whose sum is σ = 1230718104. Its totient is φ = 189235200.

The previous prime is 484902391. The next prime is 484902409. The reversal of 484902400 is 4209484.

It is an interprime number because it is at equal distance from previous prime (484902391) and next prime (484902409).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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 (484902409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549960 + ... + 550840.

Almost surely, 2^484902400 is an apocalyptic number.

484902400 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 484902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615359052).

484902400 is an abundant number, since it is smaller than the sum of its proper divisors (745815704).

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

484902400 is an equidigital number, since it uses as much as digits as its factorization.

484902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 484902400 is about 22020.4995402012. The cubic root of 484902400 is about 785.6300944029.

The spelling of 484902400 in words is "four hundred eighty-four million, nine hundred two thousand, four hundred".