1265892480 has 384 divisors, whose sum is σ = 4725864000. Its totient is φ = 311205888.

The previous prime is 1265892449. The next prime is 1265892503. The reversal of 1265892480 is 842985621.

1265892480 is a `hidden beast` number, since 1 + 26 + 589 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 4705786 + ... + 4706054.

Almost surely, 2^1265892480 is an apocalyptic number.

1265892480 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 1265892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362932000).

1265892480 is an abundant number, since it is smaller than the sum of its proper divisors (3459971520).

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

1265892480 is a wasteful number, since it uses less digits than its factorization.

1265892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1265892480 is about 35579.3827939721. The cubic root of 1265892480 is about 1081.7633744202.

The spelling of 1265892480 in words is "one billion, two hundred sixty-five million, eight hundred ninety-two thousand, four hundred eighty".