261456040 has 32 divisors (see below), whose sum is σ = 589500000. Its totient is φ = 104364864.

The previous prime is 261456037. The next prime is 261456061. The reversal of 261456040 is 40654162.

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, 13411 + ... + 26509.

It is an arithmetic number, because the mean of its divisors is an integer number (18421875).

Almost surely, 2^261456040 is an apocalyptic number.

261456040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261456040 is an abundant number, since it is smaller than the sum of its proper divisors (328043960).

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

261456040 is a wasteful number, since it uses less digits than its factorization.

261456040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13609 (or 13605 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 261456040 is about 16169.6023451413. The cubic root of 261456040 is about 639.4396462427.

The spelling of 261456040 in words is "two hundred sixty-one million, four hundred fifty-six thousand, forty".