814461960 has 128 divisors (see below), whose sum is σ = 2676240000. Its totient is φ = 197062656.

The previous prime is 814461953. The next prime is 814461997. The reversal of 814461960 is 69164418.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87616 + ... + 96464.

It is an arithmetic number, because the mean of its divisors is an integer number (20908125).

Almost surely, 2^814461960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814461960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338120000).

814461960 is an abundant number, since it is smaller than the sum of its proper divisors (1861778040).

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

814461960 is a wasteful number, since it uses less digits than its factorization.

814461960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8931 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 814461960 is about 28538.7799318752. The cubic root of 814461960 is about 933.8782662425.

The spelling of 814461960 in words is "eight hundred fourteen million, four hundred sixty-one thousand, nine hundred sixty".