1301461600 has 72 divisors (see below), whose sum is σ = 3224746728. Its totient is φ = 512793600.

The previous prime is 1301461559. The next prime is 1301461613. The reversal of 1301461600 is 61641031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41460 + ... + 65740.

It is an arithmetic number, because the mean of its divisors is an integer number (44788149).

Almost surely, 2^1301461600 is an apocalyptic number.

1301461600 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 1301461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612373364).

1301461600 is an abundant number, since it is smaller than the sum of its proper divisors (1923285128).

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

1301461600 is a wasteful number, since it uses less digits than its factorization.

1301461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24368 (or 24355 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1301461600 is about 36075.7758059338. The cubic root of 1301461600 is about 1091.8017503397.

The spelling of 1301461600 in words is "one billion, three hundred one million, four hundred sixty-one thousand, six hundred".