481573840 has 160 divisors (see below), whose sum is σ = 1279918080. Its totient is φ = 166924800.

The previous prime is 481573819. The next prime is 481573843. The reversal of 481573840 is 48375184.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 481573793 and 481573802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481573843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3464491 + ... + 3464629.

It is an arithmetic number, because the mean of its divisors is an integer number (7999488).

Almost surely, 2^481573840 is an apocalyptic number.

481573840 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 481573840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639959040).

481573840 is an abundant number, since it is smaller than the sum of its proper divisors (798344240).

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

481573840 is a wasteful number, since it uses less digits than its factorization.

481573840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 481573840 is about 21944.7907258192. The cubic root of 481573840 is about 783.8283412181.

The spelling of 481573840 in words is "four hundred eighty-one million, five hundred seventy-three thousand, eight hundred forty".