484521600 has 192 divisors, whose sum is σ = 1636145280. Its totient is φ = 125952000.

The previous prime is 484521581. The next prime is 484521617. The reversal of 484521600 is 6125484.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×484521600² = 469522361733120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392985 + ... + 394215.

It is an arithmetic number, because the mean of its divisors is an integer number (8521590).

Almost surely, 2^484521600 is an apocalyptic number.

484521600 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 484521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818072640).

484521600 is an abundant number, since it is smaller than the sum of its proper divisors (1151623680).

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

484521600 is a wasteful number, since it uses less digits than its factorization.

484521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 484521600 is about 22011.8513533051. The cubic root of 484521600 is about 785.4243854550.

The spelling of 484521600 in words is "four hundred eighty-four million, five hundred twenty-one thousand, six hundred".