481753872 has 80 divisors (see below), whose sum is σ = 1391815680. Its totient is φ = 159539328.

The previous prime is 481753861. The next prime is 481753903. The reversal of 481753872 is 278357184.

481753872 is a `hidden beast` number, since 48 + 1 + 7 + 538 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64273 + ... + 71375.

It is an arithmetic number, because the mean of its divisors is an integer number (17397696).

Almost surely, 2^481753872 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 481753872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695907840).

481753872 is an abundant number, since it is smaller than the sum of its proper divisors (910061808).

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

481753872 is a wasteful number, since it uses less digits than its factorization.

481753872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7277 (or 7265 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 481753872 is about 21948.8922727321. The cubic root of 481753872 is about 783.9260047476.

The spelling of 481753872 in words is "four hundred eighty-one million, seven hundred fifty-three thousand, eight hundred seventy-two".