261901472 has 144 divisors (see below), whose sum is σ = 646380000. Its totient is φ = 103832064.

The previous prime is 261901469. The next prime is 261901489. The reversal of 261901472 is 274109162.

It is a happy number.

It is a super-3 number, since 3×261901472³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1757654 + ... + 1757802.

It is an arithmetic number, because the mean of its divisors is an integer number (4488750).

Almost surely, 2^261901472 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 261901472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323190000).

261901472 is an abundant number, since it is smaller than the sum of its proper divisors (384478528).

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

261901472 is a wasteful number, since it uses less digits than its factorization.

261901472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 261901472 is about 16183.3702299614. The cubic root of 261901472 is about 639.8025693101.

The spelling of 261901472 in words is "two hundred sixty-one million, nine hundred one thousand, four hundred seventy-two".