483775891600 has 135 divisors (see below), whose sum is σ = 1179258007993. Its totient is φ = 190722632320.

The previous prime is 483775891567. The next prime is 483775891607. The reversal of 483775891600 is 6198577384.

The square root of 483775891600 is 695540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 174159320976 + 309616570624 = 417324^2 + 556432^2 .

It is a super-2 number, since 2×483775891600² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (483775891607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1154596191 + ... + 1154596609.

Almost surely, 2^483775891600 is an apocalyptic number.

483775891600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

483775891600 is the 695540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483775891600

483775891600 is an abundant number, since it is smaller than the sum of its proper divisors (695482116393).

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

483775891600 is an frugal number, since it uses more digits than its factorization.

483775891600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 483775891600 in words is "four hundred eighty-three billion, seven hundred seventy-five million, eight hundred ninety-one thousand, six hundred".