261450980 has 48 divisors (see below), whose sum is σ = 631048320. Its totient is φ = 89131008.

The previous prime is 261450953. The next prime is 261451009. The reversal of 261450980 is 89054162.

It is a super-2 number, since 2×261450980² = 136713229885920800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 261450980.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19844 + ... + 30276.

It is an arithmetic number, because the mean of its divisors is an integer number (13146840).

Almost surely, 2^261450980 is an apocalyptic number.

261450980 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 261450980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315524160).

261450980 is an abundant number, since it is smaller than the sum of its proper divisors (369597340).

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

261450980 is a wasteful number, since it uses less digits than its factorization.

261450980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10628 (or 10626 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 261450980 is about 16169.4458779514. The cubic root of 261450980 is about 639.4355211573.

The spelling of 261450980 in words is "two hundred sixty-one million, four hundred fifty thousand, nine hundred eighty".