481691952 has 180 divisors, whose sum is σ = 1651155480. Its totient is φ = 130346496.

The previous prime is 481691879. The next prime is 481691983. The reversal of 481691952 is 259196184.

It is a junction number, because it is equal to n+sod(n) for n = 481691898 and 481691907.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132268 + ... + 135860.

It is an arithmetic number, because the mean of its divisors is an integer number (9173086).

Almost surely, 2^481691952 is an apocalyptic number.

481691952 is a gapful number since it is divisible by the number (42) 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 481691952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825577740).

481691952 is an abundant number, since it is smaller than the sum of its proper divisors (1169463528).

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

481691952 is a wasteful number, since it uses less digits than its factorization.

481691952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3624 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 481691952 is about 21947.4816778600. The cubic root of 481691952 is about 783.8924172106.

The spelling of 481691952 in words is "four hundred eighty-one million, six hundred ninety-one thousand, nine hundred fifty-two".