1295454720 has 160 divisors (see below), whose sum is σ = 4733232768. Its totient is φ = 296091648.

The previous prime is 1295454707. The next prime is 1295454733. The reversal of 1295454720 is 274545921.

It is an interprime number because it is at equal distance from previous prime (1295454707) and next prime (1295454733).

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41712 + ... + 65808.

Almost surely, 2^1295454720 is an apocalyptic number.

1295454720 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 1295454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366616384).

1295454720 is an abundant number, since it is smaller than the sum of its proper divisors (3437778048).

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

1295454720 is an equidigital number, since it uses as much as digits as its factorization.

1295454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24130 (or 24114 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 1295454720 is about 35992.4258698966. The cubic root of 1295454720 is about 1090.1194269166.

The spelling of 1295454720 in words is "one billion, two hundred ninety-five million, four hundred fifty-four thousand, seven hundred twenty".