481593840 has 160 divisors (see below), whose sum is σ = 1837549056. Its totient is φ = 101606400.

The previous prime is 481593823. The next prime is 481593877. The reversal of 481593840 is 48395184.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 481593792 and 481593801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10815 + ... + 32865.

Almost surely, 2^481593840 is an apocalyptic number.

481593840 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 481593840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918774528).

481593840 is an abundant number, since it is smaller than the sum of its proper divisors (1355955216).

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

481593840 is a wasteful number, since it uses less digits than its factorization.

481593840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22087 (or 22081 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 481593840 is about 21945.2464100998. The cubic root of 481593840 is about 783.8391919943.

The spelling of 481593840 in words is "four hundred eighty-one million, five hundred ninety-three thousand, eight hundred forty".