1295400960 has 360 divisors, whose sum is σ = 5152545216. Its totient is φ = 294912000.

The previous prime is 1295400959. The next prime is 1295400961. The reversal of 1295400960 is 690045921.

1295400960 is a `hidden beast` number, since 1 + 29 + 540 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1295400959) and next prime (1295400961).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1295400961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160835 + ... + 5161085.

Almost surely, 2^1295400960 is an apocalyptic number.

1295400960 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 1295400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576272608).

1295400960 is an abundant number, since it is smaller than the sum of its proper divisors (3857144256).

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

1295400960 is an equidigital number, since it uses as much as digits as its factorization.

1295400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1295400960 is about 35991.6790383555. The cubic root of 1295400960 is about 1090.1043471072.

The spelling of 1295400960 in words is "one billion, two hundred ninety-five million, four hundred thousand, nine hundred sixty".