1260249600 has 240 divisors, whose sum is σ = 4280493888. Its totient is φ = 326615040.

The previous prime is 1260249583. The next prime is 1260249611. The reversal of 1260249600 is 69420621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1420357 + ... + 1421243.

Almost surely, 2^1260249600 is an apocalyptic number.

1260249600 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 1260249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140246944).

1260249600 is an abundant number, since it is smaller than the sum of its proper divisors (3020244288).

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

1260249600 is an equidigital number, since it uses as much as digits as its factorization.

1260249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1260249600 is about 35499.9943661967. The cubic root of 1260249600 is about 1080.1536132665.

The spelling of 1260249600 in words is "one billion, two hundred sixty million, two hundred forty-nine thousand, six hundred".