481597920 has 384 divisors, whose sum is σ = 1820206080. Its totient is φ = 118609920.

The previous prime is 481597873. The next prime is 481597969. The reversal of 481597920 is 29795184.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3676255 + ... + 3676385.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2^481597920 is an apocalyptic number.

481597920 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 481597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910103040).

481597920 is an abundant number, since it is smaller than the sum of its proper divisors (1338608160).

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

481597920 is a wasteful number, since it uses less digits than its factorization.

481597920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 481597920 is about 21945.3393685311. The cubic root of 481597920 is about 783.8414055157.

The spelling of 481597920 in words is "four hundred eighty-one million, five hundred ninety-seven thousand, nine hundred twenty".