481973040 has 240 divisors, whose sum is σ = 1718327520. Its totient is φ = 120852480.

The previous prime is 481972991. The next prime is 481973059. The reversal of 481973040 is 40379184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×481973040² = 464596022573683200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 481972986 and 481973004.

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, 855799 + ... + 856361.

It is an arithmetic number, because the mean of its divisors is an integer number (7159698).

Almost surely, 2^481973040 is an apocalyptic number.

481973040 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 481973040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859163760).

481973040 is an abundant number, since it is smaller than the sum of its proper divisors (1236354480).

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

481973040 is a wasteful number, since it uses less digits than its factorization.

481973040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 481973040 is about 21953.8843943390. The cubic root of 481973040 is about 784.0448658900.

The spelling of 481973040 in words is "four hundred eighty-one million, nine hundred seventy-three thousand, forty".