1295673408 has 140 divisors (see below), whose sum is σ = 3877708780. Its totient is φ = 427742208.

The previous prime is 1295673383. The next prime is 1295673419. The reversal of 1295673408 is 8043765921.

1295673408 is a `hidden beast` number, since 129 + 56 + 73 + 408 = 666.

1295673408 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 638673984 + 656999424 = 25272^2 + 25632^2 .

1295673408 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 563910 + ... + 566202.

It is a 1-persistent number, because it is pandigital, but 2⋅1295673408 = 2591346816 is not.

Almost surely, 2^1295673408 is an apocalyptic number.

1295673408 is a gapful number since it is divisible by the number (18) 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 1295673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938854390).

1295673408 is an abundant number, since it is smaller than the sum of its proper divisors (2582035372).

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

1295673408 is a wasteful number, since it uses less digits than its factorization.

1295673408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2407 counting only the distinct ones).

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

The square root of 1295673408 is about 35995.4637141960. The cubic root of 1295673408 is about 1090.1807651274.

The spelling of 1295673408 in words is "one billion, two hundred ninety-five million, six hundred seventy-three thousand, four hundred eight".