1295481600 has 972 divisors, whose sum is σ = 5916043224. Its totient is φ = 278691840.

The previous prime is 1295481589. The next prime is 1295481613. The reversal of 1295481600 is 61845921.

1295481600 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 48 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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 107 ways as a sum of consecutive naturals, for example, 76204792 + ... + 76204808.

Almost surely, 2^1295481600 is an apocalyptic number.

1295481600 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 1295481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958021612).

1295481600 is an abundant number, since it is smaller than the sum of its proper divisors (4620561624).

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

1295481600 is an equidigital number, since it uses as much as digits as its factorization.

1295481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1295481600 is about 35992.7992798560. The cubic root of 1295481600 is about 1090.1269666649.

The spelling of 1295481600 in words is "one billion, two hundred ninety-five million, four hundred eighty-one thousand, six hundred".