261363400 has 24 divisors (see below), whose sum is σ = 607670370. Its totient is φ = 104545280.

The previous prime is 261363391. The next prime is 261363409. The reversal of 261363400 is 4363162.

It is an interprime number because it is at equal distance from previous prime (261363391) and next prime (261363409).

It can be written as a sum of positive squares in 3 ways, for example, as 232440516 + 28922884 = 15246^2 + 5378^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (261363409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 653209 + ... + 653608.

Almost surely, 2^261363400 is an apocalyptic number.

261363400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261363400 is an abundant number, since it is smaller than the sum of its proper divisors (346306970).

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

261363400 is a wasteful number, since it uses less digits than its factorization.

261363400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306833 (or 1306824 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 261363400 is about 16166.7374568897. The cubic root of 261363400 is about 639.3641145056.

The spelling of 261363400 in words is "two hundred sixty-one million, three hundred sixty-three thousand, four hundred".