481440960 has 672 divisors, whose sum is σ = 2236695552. Its totient is φ = 91791360.

The previous prime is 481440941. The next prime is 481440979. The reversal of 481440960 is 69044184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (481440941) and next prime (481440979).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2882797 + ... + 2882963.

It is an arithmetic number, because the mean of its divisors is an integer number (3328416).

Almost surely, 2^481440960 is an apocalyptic number.

481440960 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 481440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118347776).

481440960 is an abundant number, since it is smaller than the sum of its proper divisors (1755254592).

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

481440960 is a wasteful number, since it uses less digits than its factorization.

481440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 481440960 is about 21941.7629191458. The cubic root of 481440960 is about 783.7562410315.

The spelling of 481440960 in words is "four hundred eighty-one million, four hundred forty thousand, nine hundred sixty".