1461960864 has 324 divisors, whose sum is σ = 5245395246. Its totient is φ = 384943104.

The previous prime is 1461960859. The next prime is 1461960887. The reversal of 1461960864 is 4680691641.

It can be written as a sum of positive squares in 3 ways, for example, as 246741264 + 1215219600 = 15708^2 + 34860^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2384622 + ... + 2385234.

Almost surely, 2^1461960864 is an apocalyptic number.

1461960864 is a gapful number since it is divisible by the number (14) 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 1461960864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622697623).

1461960864 is an abundant number, since it is smaller than the sum of its proper divisors (3783434382).

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

1461960864 is a wasteful number, since it uses less digits than its factorization.

1461960864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1461960864 is about 38235.5968176253. The cubic root of 1461960864 is about 1134.9548427893.

The spelling of 1461960864 in words is "one billion, four hundred sixty-one million, nine hundred sixty thousand, eight hundred sixty-four".