261427200 has 312 divisors, whose sum is σ = 926303808. Its totient is φ = 64880640.

The previous prime is 261427181. The next prime is 261427259. The reversal of 261427200 is 2724162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7065582 + ... + 7065618.

Almost surely, 2^261427200 is an apocalyptic number.

261427200 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 261427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463151904).

261427200 is an abundant number, since it is smaller than the sum of its proper divisors (664876608).

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

261427200 is a wasteful number, since it uses less digits than its factorization.

261427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 261427200 is about 16168.7105237245. The cubic root of 261427200 is about 639.4161341735.

The spelling of 261427200 in words is "two hundred sixty-one million, four hundred twenty-seven thousand, two hundred".