481169072 has 80 divisors (see below), whose sum is σ = 1010352000. Its totient is φ = 221294592.

The previous prime is 481169069. The next prime is 481169081. The reversal of 481169072 is 270961184.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 2493008 + ... + 2493200.

It is an arithmetic number, because the mean of its divisors is an integer number (12629400).

Almost surely, 2^481169072 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 481169072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505176000).

481169072 is an abundant number, since it is smaller than the sum of its proper divisors (529182928).

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

481169072 is a wasteful number, since it uses less digits than its factorization.

With its successor (481169073) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (412).

With its successor (481169073) it forms an eRAP, since the sums of their prime factors are consecutive (418 and 419).

481169072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 481169072 is about 21935.5663706228. The cubic root of 481169072 is about 783.6086742744.

The spelling of 481169072 in words is "four hundred eighty-one million, one hundred sixty-nine thousand, seventy-two".