1293278400 has 420 divisors, whose sum is σ = 5041974168. Its totient is φ = 324034560.

The previous prime is 1293278359. The next prime is 1293278443. The reversal of 1293278400 is 48723921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2202907 + ... + 2203493.

Almost surely, 2^1293278400 is an apocalyptic number.

1293278400 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 1293278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520987084).

1293278400 is an abundant number, since it is smaller than the sum of its proper divisors (3748695768).

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

1293278400 is a wasteful number, since it uses less digits than its factorization.

1293278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1293278400 is about 35962.1801341354. The cubic root of 1293278400 is about 1089.5086301927.

The spelling of 1293278400 in words is "one billion, two hundred ninety-three million, two hundred seventy-eight thousand, four hundred".