481620960 has 144 divisors (see below), whose sum is σ = 1696705920. Its totient is φ = 124277760.

The previous prime is 481620901. The next prime is 481620967. The reversal of 481620960 is 69026184.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×481620960² = 463917498222643200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481620967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39246 + ... + 50034.

It is an arithmetic number, because the mean of its divisors is an integer number (11782680).

Almost surely, 2^481620960 is an apocalyptic number.

481620960 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 481620960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848352960).

481620960 is an abundant number, since it is smaller than the sum of its proper divisors (1215084960).

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

481620960 is a wasteful number, since it uses less digits than its factorization.

481620960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10841 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 481620960 is about 21945.8643028704. The cubic root of 481620960 is about 783.8539051669.

The spelling of 481620960 in words is "four hundred eighty-one million, six hundred twenty thousand, nine hundred sixty".