1300474560 has 448 divisors, whose sum is σ = 5240024064. Its totient is φ = 265420800.

The previous prime is 1300474543. The next prime is 1300474577. The reversal of 1300474560 is 654740031.

It is an interprime number because it is at equal distance from previous prime (1300474543) and next prime (1300474577).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5396040 + ... + 5396280.

Almost surely, 2^1300474560 is an apocalyptic number.

1300474560 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 1300474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620012032).

1300474560 is an abundant number, since it is smaller than the sum of its proper divisors (3939549504).

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

1300474560 is a wasteful number, since it uses less digits than its factorization.

1300474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1300474560 is about 36062.0931172887. The cubic root of 1300474560 is about 1091.5256698294.

The spelling of 1300474560 in words is "one billion, three hundred million, four hundred seventy-four thousand, five hundred sixty".