481737680 has 40 divisors (see below), whose sum is σ = 1131148584. Its totient is φ = 190784000.

The previous prime is 481737667. The next prime is 481737709. The reversal of 481737680 is 86737184.

It can be written as a sum of positive squares in 4 ways, for example, as 248503696 + 233233984 = 15764^2 + 15272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21731 + ... + 37890.

Almost surely, 2^481737680 is an apocalyptic number.

481737680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481737680 is an abundant number, since it is smaller than the sum of its proper divisors (649410904).

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

481737680 is a wasteful number, since it uses less digits than its factorization.

481737680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59735 (or 59729 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 481737680 is about 21948.5234127492. The cubic root of 481737680 is about 783.9172219280.

The spelling of 481737680 in words is "four hundred eighty-one million, seven hundred thirty-seven thousand, six hundred eighty".