261462500 has 72 divisors (see below), whose sum is σ = 616288680. Its totient is φ = 96480000.

The previous prime is 261462497. The next prime is 261462517. The reversal of 261462500 is 5264162.

It can be written as a sum of positive squares in 12 ways, for example, as 254785444 + 6677056 = 15962^2 + 2584^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 261462500.

It is a congruent number.

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, 161696 + ... + 163304.

It is an arithmetic number, because the mean of its divisors is an integer number (8559565).

Almost surely, 2^261462500 is an apocalyptic number.

261462500 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 261462500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308144340).

261462500 is an abundant number, since it is smaller than the sum of its proper divisors (354826180).

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

261462500 is a wasteful number, since it uses less digits than its factorization.

261462500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 261462500 is about 16169.8021014482. The cubic root of 261462500 is about 639.4449125787. Note that the first 3 decimals are identical.

The spelling of 261462500 in words is "two hundred sixty-one million, four hundred sixty-two thousand, five hundred".