1301760460 has 192 divisors, whose sum is σ = 3748147200. Its totient is φ = 374250240.

The previous prime is 1301760451. The next prime is 1301760517. The reversal of 1301760460 is 640671031.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 980317 + ... + 981643.

It is an arithmetic number, because the mean of its divisors is an integer number (19521600).

Almost surely, 2^1301760460 is an apocalyptic number.

1301760460 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 1301760460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874073600).

1301760460 is an abundant number, since it is smaller than the sum of its proper divisors (2446386740).

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

1301760460 is a wasteful number, since it uses less digits than its factorization.

1301760460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1301760460 is about 36079.9176828329. The cubic root of 1301760460 is about 1091.8853155913.

It can be divided in two parts, 13017604 and 60, that added together give a square (13017664 = 3608²).

The spelling of 1301760460 in words is "one billion, three hundred one million, seven hundred sixty thousand, four hundred sixty".