814860480 has 112 divisors (see below), whose sum is σ = 2956803840. Its totient is φ = 186252288.

The previous prime is 814860463. The next prime is 814860481. The reversal of 814860480 is 84068418.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (814860481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53910 + ... + 67349.

Almost surely, 2^814860480 is an apocalyptic number.

814860480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

814860480 is an abundant number, since it is smaller than the sum of its proper divisors (2141943360).

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

814860480 is a wasteful number, since it uses less digits than its factorization.

814860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121286 (or 121276 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 814860480 is about 28545.7611564309. The cubic root of 814860480 is about 934.0305583895.

The spelling of 814860480 in words is "eight hundred fourteen million, eight hundred sixty thousand, four hundred eighty".