481752960 has 128 divisors (see below), whose sum is σ = 1653795360. Its totient is φ = 118579200.

The previous prime is 481752949. The next prime is 481752991. The reversal of 481752960 is 69257184.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15310 + ... + 34610.

Almost surely, 2^481752960 is an apocalyptic number.

481752960 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 481752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826897680).

481752960 is an abundant number, since it is smaller than the sum of its proper divisors (1172042400).

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

481752960 is a wasteful number, since it uses less digits than its factorization.

481752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19336 (or 19324 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 481752960 is about 21948.8714971864. The cubic root of 481752960 is about 783.9255100684.

The spelling of 481752960 in words is "four hundred eighty-one million, seven hundred fifty-two thousand, nine hundred sixty".