1275396480 has 192 divisors, whose sum is σ = 4432287600. Its totient is φ = 337932288.

The previous prime is 1275396439. The next prime is 1275396517. The reversal of 1275396480 is 846935721.

1275396480 is a `hidden beast` number, since 12 + 75 + 3 + 96 + 480 = 666.

1275396480 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

1275396480 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030422 + ... + 1031658.

It is a 1-persistent number, because it is pandigital, but 2⋅1275396480 = 2550792960 is not.

It is a vampire number, since it can be written as 21480 ⋅ 59376 (with its own digits).

Almost surely, 2^1275396480 is an apocalyptic number.

1275396480 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 1275396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216143800).

1275396480 is an abundant number, since it is smaller than the sum of its proper divisors (3156891120).

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

1275396480 is a wasteful number, since it uses less digits than its factorization.

1275396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1275396480 is about 35712.6935416527. The cubic root of 1275396480 is about 1084.4638293189.

The spelling of 1275396480 in words is "one billion, two hundred seventy-five million, three hundred ninety-six thousand, four hundred eighty".