1295201408 has 24 divisors (see below), whose sum is σ = 2581095465. Its totient is φ = 647397120.

The previous prime is 1295201377. The next prime is 1295201447. The reversal of 1295201408 is 8041025921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 987970624 + 307230784 = 31432^2 + 17528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=25448.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 405578 + ... + 408758.

Almost surely, 2^1295201408 is an apocalyptic number.

It is an amenable number.

1295201408 is a deficient number, since it is larger than the sum of its proper divisors (1285894057).

1295201408 is an frugal number, since it uses more digits than its factorization.

1295201408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 1295201408 is about 35988.9067352705. The cubic root of 1295201408 is about 1090.0483686417.

Multiplying 1295201408 by its sum of digits (32), we get a square (41446445056 = 203584²).

1295201408 divided by its sum of digits (32) gives a square (40475044 = 6362²).

The spelling of 1295201408 in words is "one billion, two hundred ninety-five million, two hundred one thousand, four hundred eight".