481940928 has 336 divisors, whose sum is σ = 1730776320. Its totient is φ = 129890304.

The previous prime is 481940887. The next prime is 481940951. The reversal of 481940928 is 829049184.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2068300 + ... + 2068532.

It is an arithmetic number, because the mean of its divisors is an integer number (5151120).

Almost surely, 2^481940928 is an apocalyptic number.

481940928 is a gapful number since it is divisible by the number (48) 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 481940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865388160).

481940928 is an abundant number, since it is smaller than the sum of its proper divisors (1248835392).

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

481940928 is a wasteful number, since it uses less digits than its factorization.

481940928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 481940928 is about 21953.1530309430. The cubic root of 481940928 is about 784.0274528774.

The spelling of 481940928 in words is "four hundred eighty-one million, nine hundred forty thousand, nine hundred twenty-eight".