1294540800 has 504 divisors, whose sum is σ = 5094981936. Its totient is φ = 289013760.

The previous prime is 1294540733. The next prime is 1294540801. The reversal of 1294540800 is 80454921.

It is not an unprimeable number, because it can be changed into a prime (1294540801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30105579 + ... + 30105621.

Almost surely, 2^1294540800 is an apocalyptic number.

1294540800 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 1294540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547490968).

1294540800 is an abundant number, since it is smaller than the sum of its proper divisors (3800441136).

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

1294540800 is an equidigital number, since it uses as much as digits as its factorization.

1294540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1294540800 is about 35979.7276254282. The cubic root of 1294540800 is about 1089.8630133939.

The spelling of 1294540800 in words is "one billion, two hundred ninety-four million, five hundred forty thousand, eight hundred".