261424800 has 864 divisors, whose sum is σ = 1246795200. Its totient is φ = 52254720.

The previous prime is 261424789. The next prime is 261424817. The reversal of 261424800 is 8424162.

261424800 is a `hidden beast` number, since 2 + 614 + 2 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13759191 + ... + 13759209.

It is an arithmetic number, because the mean of its divisors is an integer number (1443050).

Almost surely, 2^261424800 is an apocalyptic number.

261424800 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 261424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623397600).

261424800 is an abundant number, since it is smaller than the sum of its proper divisors (985370400).

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

261424800 is a wasteful number, since it uses less digits than its factorization.

261424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 261424800 is about 16168.6363061329. The cubic root of 261424800 is about 639.4141774740.

Adding to 261424800 its reverse (8424162), we get a palindrome (269848962).

The spelling of 261424800 in words is "two hundred sixty-one million, four hundred twenty-four thousand, eight hundred".