261473520 has 160 divisors (see below), whose sum is σ = 1010649600. Its totient is φ = 54328320.

The previous prime is 261473519. The next prime is 261473557. The reversal of 261473520 is 25374162.

It is a super-2 number, since 2×261473520² = 136736803322380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11406 + ... + 25554.

It is an arithmetic number, because the mean of its divisors is an integer number (6316560).

Almost surely, 2^261473520 is an apocalyptic number.

261473520 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 261473520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505324800).

261473520 is an abundant number, since it is smaller than the sum of its proper divisors (749176080).

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

261473520 is a wasteful number, since it uses less digits than its factorization.

261473520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14183 (or 14177 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 261473520 is about 16170.1428565118. The cubic root of 261473520 is about 639.4538961282.

The spelling of 261473520 in words is "two hundred sixty-one million, four hundred seventy-three thousand, five hundred twenty".