484377600 has 528 divisors, whose sum is σ = 1973766528. Its totient is φ = 102236160.

The previous prime is 484377599. The next prime is 484377601. The reversal of 484377600 is 6773484.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (484377599) and next prime (484377601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484377601) 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 47 ways as a sum of consecutive naturals, for example, 9139174 + ... + 9139226.

Almost surely, 2^484377600 is an apocalyptic number.

484377600 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 484377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986883264).

484377600 is an abundant number, since it is smaller than the sum of its proper divisors (1489388928).

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

484377600 is a wasteful number, since it uses less digits than its factorization.

484377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 484377600 is about 22008.5801450253. The cubic root of 484377600 is about 785.3465682721.

The spelling of 484377600 in words is "four hundred eighty-four million, three hundred seventy-seven thousand, six hundred".