261050400 has 216 divisors, whose sum is σ = 991694340. Its totient is φ = 64235520.

The previous prime is 261050393. The next prime is 261050417. The reversal of 261050400 is 4050162.

It is a happy number.

261050400 is a `hidden beast` number, since 2 + 610 + 50 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 62916624 + 198133776 = 7932^2 + 14076^2 .

It is a super-2 number, since 2×261050400² = 136294622680320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92206 + ... + 94994.

Almost surely, 2^261050400 is an apocalyptic number.

261050400 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 261050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495847170).

261050400 is an abundant number, since it is smaller than the sum of its proper divisors (730643940).

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

261050400 is a wasteful number, since it uses less digits than its factorization.

261050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 261050400 is about 16157.0541869488. The cubic root of 261050400 is about 639.1087855816.

The spelling of 261050400 in words is "two hundred sixty-one million, fifty thousand, four hundred".