481461840 has 160 divisors (see below), whose sum is σ = 1671500160. Its totient is φ = 127374336.

The previous prime is 481461833. The next prime is 481461859. The reversal of 481461840 is 48164184.

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 = 481461795 and 481461804.

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, 295107 + ... + 296733.

It is an arithmetic number, because the mean of its divisors is an integer number (10446876).

Almost surely, 2^481461840 is an apocalyptic number.

481461840 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 481461840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835750080).

481461840 is an abundant number, since it is smaller than the sum of its proper divisors (1190038320).

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

481461840 is a wasteful number, since it uses less digits than its factorization.

481461840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 481461840 is about 21942.2387189639. The cubic root of 481461840 is about 783.7675713192.

The spelling of 481461840 in words is "four hundred eighty-one million, four hundred sixty-one thousand, eight hundred forty".