291480480 has 144 divisors (see below), whose sum is σ = 1019143944. Its totient is φ = 75816960.

The previous prime is 291480467. The next prime is 291480481. The reversal of 291480480 is 84084192.

It can be written as a sum of positive squares in 4 ways, for example, as 147768336 + 143712144 = 12156^2 + 11988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (291480481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56572 + ... + 61508.

Almost surely, 2^291480480 is an apocalyptic number.

291480480 is a gapful number since it is divisible by the number (20) 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 291480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509571972).

291480480 is an abundant number, since it is smaller than the sum of its proper divisors (727663464).

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

291480480 is a wasteful number, since it uses less digits than its factorization.

291480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 291480480 is about 17072.7994189588. The cubic root of 291480480 is about 663.0350574884.

The spelling of 291480480 in words is "two hundred ninety-one million, four hundred eighty thousand, four hundred eighty".