1294985472 has 288 divisors, whose sum is σ = 4068900864. Its totient is φ = 361267200.

The previous prime is 1294985449. The next prime is 1294985473. The reversal of 1294985472 is 2745894921.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1294985473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10196673 + ... + 10196799.

It is an arithmetic number, because the mean of its divisors is an integer number (14128128).

Almost surely, 2^1294985472 is an apocalyptic number.

1294985472 is a gapful number since it is divisible by the number (12) 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 1294985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034450432).

1294985472 is an abundant number, since it is smaller than the sum of its proper divisors (2773915392).

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

1294985472 is a wasteful number, since it uses less digits than its factorization.

1294985472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 1294985472 is about 35985.9065746578. The cubic root of 1294985472 is about 1089.9877876476.

The spelling of 1294985472 in words is "one billion, two hundred ninety-four million, nine hundred eighty-five thousand, four hundred seventy-two".