291485952 has 90 divisors (see below), whose sum is σ = 869220198. Its totient is φ = 97155072.

The previous prime is 291485951. The next prime is 291485981. The reversal of 291485952 is 259584192.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 171714816 + 119771136 = 13104^2 + 10944^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 291485898 and 291485907.

It is not an unprimeable number, because it can be changed into a prime (291485951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13708 + ... + 27764.

Almost surely, 2^291485952 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 291485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434610099).

291485952 is an abundant number, since it is smaller than the sum of its proper divisors (577734246).

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

291485952 is an equidigital number, since it uses as much as digits as its factorization.

291485952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14085 (or 14062 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 291485952 is about 17072.9596731205. The cubic root of 291485952 is about 663.0392065429.

The spelling of 291485952 in words is "two hundred ninety-one million, four hundred eighty-five thousand, nine hundred fifty-two".