481121920 has 32 divisors (see below), whose sum is σ = 1150183620. Its totient is φ = 192448512.

The previous prime is 481121917. The next prime is 481121923. The reversal of 481121920 is 29121184.

It is an interprime number because it is at equal distance from previous prime (481121917) and next prime (481121923).

It can be written as a sum of positive squares in 2 ways, for example, as 435640384 + 45481536 = 20872^2 + 6744^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (481121923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 375237 + ... + 376516.

Almost surely, 2^481121920 is an apocalyptic number.

481121920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481121920 is an abundant number, since it is smaller than the sum of its proper divisors (669061700).

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

481121920 is an equidigital number, since it uses as much as digits as its factorization.

481121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751772 (or 751760 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 481121920 is about 21934.4915600978. The cubic root of 481121920 is about 783.5830769495.

The spelling of 481121920 in words is "four hundred eighty-one million, one hundred twenty-one thousand, nine hundred twenty".