2014460400 has 60 divisors (see below), whose sum is σ = 6452991992. Its totient is φ = 537189120.

The previous prime is 2014460387. The next prime is 2014460447. The reversal of 2014460400 is 40644102.

It is a tau number, because it is divible by the number of its divisors (60).

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, 838159 + ... + 840558.

Almost surely, 2^2014460400 is an apocalyptic number.

2014460400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014460400 is an abundant number, since it is smaller than the sum of its proper divisors (4438531592).

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

2014460400 is a wasteful number, since it uses less digits than its factorization.

2014460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678738 (or 1678727 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2014460400 is about 44882.7405580363. The cubic root of 2014460400 is about 1262.9502547220.

The spelling of 2014460400 in words is "two billion, fourteen million, four hundred sixty thousand, four hundred".