1261460928 has 448 divisors, whose sum is σ = 4522549248. Its totient is φ = 300810240.

The previous prime is 1261460909. The next prime is 1261460929. The reversal of 1261460928 is 8290641621.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261460929) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9207676 + ... + 9207812.

It is an arithmetic number, because the mean of its divisors is an integer number (10094976).

Almost surely, 2^1261460928 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 1261460928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261274624).

1261460928 is an abundant number, since it is smaller than the sum of its proper divisors (3261088320).

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

1261460928 is a wasteful number, since it uses less digits than its factorization.

1261460928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1261460928 is about 35517.0512289520. The cubic root of 1261460928 is about 1080.4995768306.

The spelling of 1261460928 in words is "one billion, two hundred sixty-one million, four hundred sixty thousand, nine hundred twenty-eight".