481738040 has 64 divisors (see below), whose sum is σ = 1257292800. Its totient is φ = 162695808.

The previous prime is 481738031. The next prime is 481738057. The reversal of 481738040 is 40837184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5921 + ... + 31599.

It is an arithmetic number, because the mean of its divisors is an integer number (19645200).

Almost surely, 2^481738040 is an apocalyptic number.

481738040 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 481738040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628646400).

481738040 is an abundant number, since it is smaller than the sum of its proper divisors (775554760).

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

481738040 is a wasteful number, since it uses less digits than its factorization.

481738040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25764 (or 25760 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 481738040 is about 21948.5316137549. The cubic root of 481738040 is about 783.9174172004.

The spelling of 481738040 in words is "four hundred eighty-one million, seven hundred thirty-eight thousand, forty".