261467472 has 80 divisors (see below), whose sum is σ = 784668032. Its totient is φ = 73474560.

The previous prime is 261467471. The next prime is 261467489. The reversal of 261467472 is 274764162.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 261467472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261467471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14118 + ... + 26874.

Almost surely, 2^261467472 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 261467472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392334016).

261467472 is an abundant number, since it is smaller than the sum of its proper divisors (523200560).

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

261467472 is a wasteful number, since it uses less digits than its factorization.

261467472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12836 (or 12830 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 261467472 is about 16169.9558440956. The cubic root of 261467472 is about 639.4489658049.

The spelling of 261467472 in words is "two hundred sixty-one million, four hundred sixty-seven thousand, four hundred seventy-two".