481431860 has 288 divisors, whose sum is σ = 1389975552. Its totient is φ = 138378240.

The previous prime is 481431859. The next prime is 481431869. The reversal of 481431860 is 68134184.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 481431860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481431869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9083594 + ... + 9083646.

It is an arithmetic number, because the mean of its divisors is an integer number (4826304).

Almost surely, 2^481431860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481431860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694987776).

481431860 is an abundant number, since it is smaller than the sum of its proper divisors (908543692).

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

481431860 is a wasteful number, since it uses less digits than its factorization.

481431860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 481431860 is about 21941.5555510543. Note that the first 5 decimals coincide. The cubic root of 481431860 is about 783.7513029205.

The spelling of 481431860 in words is "four hundred eighty-one million, four hundred thirty-one thousand, eight hundred sixty".