1298461320 has 256 divisors, whose sum is σ = 4865011200. Its totient is φ = 305648640.

The previous prime is 1298461291. The next prime is 1298461429. The reversal of 1298461320 is 231648921.

1298461320 is a `hidden beast` number, since 1 + 298 + 46 + 1 + 320 = 666.

It is a super-2 number, since 2×1298461320² = 3372003599072284800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 320910 + ... + 324930.

It is an arithmetic number, because the mean of its divisors is an integer number (19003950).

Almost surely, 2^1298461320 is an apocalyptic number.

1298461320 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 1298461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432505600).

1298461320 is an abundant number, since it is smaller than the sum of its proper divisors (3566549880).

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

1298461320 is a wasteful number, since it uses less digits than its factorization.

1298461320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1298461320 is about 36034.1687846411. The cubic root of 1298461320 is about 1090.9621221947.

The spelling of 1298461320 in words is "one billion, two hundred ninety-eight million, four hundred sixty-one thousand, three hundred twenty".