261460040 has 32 divisors (see below), whose sum is σ = 589983480. Its totient is φ = 104282112.

The previous prime is 261460039. The next prime is 261460097. The reversal of 261460040 is 40064162.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 172081924 + 89378116 = 13118^2 + 9454^2 .

It is a super-2 number, since 2×261460040² = 136722705033603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 261459988 and 261460015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4862 + ... + 23378.

Almost surely, 2^261460040 is an apocalyptic number.

261460040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261460040 is an abundant number, since it is smaller than the sum of its proper divisors (328523440).

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

261460040 is a wasteful number, since it uses less digits than its factorization.

261460040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18881 (or 18877 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 261460040 is about 16169.7260335480. The cubic root of 261460040 is about 639.4429071421.

The spelling of 261460040 in words is "two hundred sixty-one million, four hundred sixty thousand, forty".