481437960 has 128 divisors (see below), whose sum is σ = 1609891200. Its totient is φ = 114462720.

The previous prime is 481437959. The next prime is 481437989. The reversal of 481437960 is 69734184.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32550 + ... + 44970.

It is an arithmetic number, because the mean of its divisors is an integer number (12577275).

Almost surely, 2^481437960 is an apocalyptic number.

481437960 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 481437960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804945600).

481437960 is an abundant number, since it is smaller than the sum of its proper divisors (1128453240).

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

481437960 is a wasteful number, since it uses less digits than its factorization.

481437960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12471 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 481437960 is about 21941.6945562552. The cubic root of 481437960 is about 783.7546130897.

The spelling of 481437960 in words is "four hundred eighty-one million, four hundred thirty-seven thousand, nine hundred sixty".