261022464 has 108 divisors (see below), whose sum is σ = 757780296. Its totient is φ = 86409216.

The previous prime is 261022459. The next prime is 261022499. The reversal of 261022464 is 464220162.

261022464 is a `hidden beast` number, since 2 + 610 + 2 + 2 + 46 + 4 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 444379 + ... + 444965.

Almost surely, 2^261022464 is an apocalyptic number.

261022464 is a gapful number since it is divisible by the number (24) 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 261022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378890148).

261022464 is an abundant number, since it is smaller than the sum of its proper divisors (496757832).

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

261022464 is a wasteful number, since it uses less digits than its factorization.

261022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 261022464 is about 16156.1896497906. The cubic root of 261022464 is about 639.0859869445.

The spelling of 261022464 in words is "two hundred sixty-one million, twenty-two thousand, four hundred sixty-four".