261374464 has 80 divisors (see below), whose sum is σ = 569213568. Its totient is φ = 119181312.

The previous prime is 261374453. The next prime is 261374471. The reversal of 261374464 is 464473162.

It is a super-2 number, since 2×261374464² = 136633220862574592, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

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, 712009 + ... + 712375.

Almost surely, 2^261374464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284606784).

261374464 is an abundant number, since it is smaller than the sum of its proper divisors (307839104).

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

261374464 is a wasteful number, since it uses less digits than its factorization.

261374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The square root of 261374464 is about 16167.0796373371. The cubic root of 261374464 is about 639.3731362032.

It can be divided in two parts, 2613 and 74464, that added together give a palindrome (77077).

The spelling of 261374464 in words is "two hundred sixty-one million, three hundred seventy-four thousand, four hundred sixty-four".