1293205472 has 48 divisors (see below), whose sum is σ = 2761979472. Its totient is φ = 592481280.

The previous prime is 1293205471. The next prime is 1293205481. The reversal of 1293205472 is 2745023921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293205471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45647 + ... + 68337.

It is an arithmetic number, because the mean of its divisors is an integer number (57541239).

Almost surely, 2^1293205472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293205472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380989736).

1293205472 is an abundant number, since it is smaller than the sum of its proper divisors (1468774000).

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

1293205472 is a wasteful number, since it uses less digits than its factorization.

1293205472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22851 (or 22843 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 1293205472 is about 35961.1661657405. The cubic root of 1293205472 is about 1089.4881506685.

The spelling of 1293205472 in words is "one billion, two hundred ninety-three million, two hundred five thousand, four hundred seventy-two".