1265964480 has 336 divisors, whose sum is σ = 4814316000. Its totient is φ = 302776320.

The previous prime is 1265964457. The next prime is 1265964523. The reversal of 1265964480 is 844695621.

1265964480 is a `hidden beast` number, since 12 + 6 + 596 + 4 + 48 + 0 = 666.

It is a super-3 number, since 3×1265964480³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2819296 + ... + 2819744.

Almost surely, 2^1265964480 is an apocalyptic number.

1265964480 is a gapful number since it is divisible by the number (10) 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 1265964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407158000).

1265964480 is an abundant number, since it is smaller than the sum of its proper divisors (3548351520).

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

1265964480 is a wasteful number, since it uses less digits than its factorization.

1265964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1265964480 is about 35580.3946015218. The cubic root of 1265964480 is about 1081.7838831358.

The spelling of 1265964480 in words is "one billion, two hundred sixty-five million, nine hundred sixty-four thousand, four hundred eighty".