261468900 has 405 divisors, whose sum is σ = 1050915593. Its totient is φ = 54331200.

The previous prime is 261468881. The next prime is 261468919. The reversal of 261468900 is 9864162.

The square root of 261468900 is 16170.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (261468881) and next prime (261468919).

It can be written as a sum of positive squares in only one way, i.e., 94128804 + 167340096 = 9702^2 + 12936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 23769895 + ... + 23769905.

Almost surely, 2^261468900 is an apocalyptic number.

261468900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

261468900 is the 16170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261468900

261468900 is an abundant number, since it is smaller than the sum of its proper divisors (789446693).

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

261468900 is a wasteful number, since it uses less digits than its factorization.

261468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 261468900 is about 639.4501299159.

Multiplying 261468900 by its sum of digits (36), we get a square (9412880400 = 97020²).

261468900 divided by its sum of digits (36) gives a square (7263025 = 2695²).

Multiplying 261468900 by its product of nonzero digits (20736), we get a square (5421819110400 = 2328480²).

The spelling of 261468900 in words is "two hundred sixty-one million, four hundred sixty-eight thousand, nine hundred".