1264376416 has 48 divisors (see below), whose sum is σ = 2576085120. Its totient is φ = 610237440.

The previous prime is 1264376383. The next prime is 1264376417. The reversal of 1264376416 is 6146734621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264376417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451950 + ... + 454738.

It is an arithmetic number, because the mean of its divisors is an integer number (53668440).

Almost surely, 2^1264376416 is an apocalyptic number.

1264376416 is a gapful number since it is divisible by the number (16) 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 1264376416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288042560).

1264376416 is an abundant number, since it is smaller than the sum of its proper divisors (1311708704).

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

1264376416 is a wasteful number, since it uses less digits than its factorization.

1264376416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3279 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 1264376416 is about 35558.0710387951. The cubic root of 1264376416 is about 1081.3313530912.

The spelling of 1264376416 in words is "one billion, two hundred sixty-four million, three hundred seventy-six thousand, four hundred sixteen".