261472464 has 120 divisors (see below), whose sum is σ = 833107392. Its totient is φ = 75778560.

The previous prime is 261472459. The next prime is 261472499. The reversal of 261472464 is 464274162.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 32844 + ... + 40020.

Almost surely, 2^261472464 is an apocalyptic number.

261472464 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 261472464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416553696).

261472464 is an abundant number, since it is smaller than the sum of its proper divisors (571634928).

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

261472464 is a wasteful number, since it uses less digits than its factorization.

261472464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7225 (or 7216 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 261472464 is about 16170.1102037061. The cubic root of 261472464 is about 639.4530352836.

It can be divided in two parts, 2614 and 72464, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 261472464 in words is "two hundred sixty-one million, four hundred seventy-two thousand, four hundred sixty-four".