214660400 has 30 divisors (see below), whose sum is σ = 515722572. Its totient is φ = 85864000.

The previous prime is 214660367. The next prime is 214660409. The reversal of 214660400 is 4066412.

It is a happy number.

214660400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (214660409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267926 + ... + 268725.

Almost surely, 2^214660400 is an apocalyptic number.

214660400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214660400 is an abundant number, since it is smaller than the sum of its proper divisors (301062172).

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

214660400 is a wasteful number, since it uses less digits than its factorization.

214660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536669 (or 536658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 214660400 is about 14651.2934582582. The cubic root of 214660400 is about 598.7570565603.

The spelling of 214660400 in words is "two hundred fourteen million, six hundred sixty thousand, four hundred".