1298925600 has 144 divisors (see below), whose sum is σ = 4832065728. Its totient is φ = 296893440.

The previous prime is 1298925599. The next prime is 1298925601. The reversal of 1298925600 is 65298921.

It is an interprime number because it is at equal distance from previous prime (1298925599) and next prime (1298925601).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1298925601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21859 + ... + 55458.

It is an arithmetic number, because the mean of its divisors is an integer number (33556012).

Almost surely, 2^1298925600 is an apocalyptic number.

1298925600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1298925600 is an abundant number, since it is smaller than the sum of its proper divisors (3533140128).

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

1298925600 is a wasteful number, since it uses less digits than its factorization.

1298925600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77347 (or 77334 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1298925600 is about 36040.6104276828. The cubic root of 1298925600 is about 1091.0921354467.

The spelling of 1298925600 in words is "one billion, two hundred ninety-eight million, nine hundred twenty-five thousand, six hundred".