214808400 has 90 divisors (see below), whose sum is σ = 745457310. Its totient is φ = 57281280.

The previous prime is 214808381. The next prime is 214808401. The reversal of 214808400 is 4808412.

It can be written as a sum of positive squares in 3 ways, for example, as 35141184 + 179667216 = 5928^2 + 13404^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×214808400² = 92285297421120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214808401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26235 + ... + 33434.

It is an arithmetic number, because the mean of its divisors is an integer number (8282859).

Almost surely, 2^214808400 is an apocalyptic number.

214808400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214808400 is an abundant number, since it is smaller than the sum of its proper divisors (530648910).

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

214808400 is a wasteful number, since it uses less digits than its factorization.

214808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59693 (or 59679 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 214808400 is about 14656.3433365898. The cubic root of 214808400 is about 598.8946315181.

The spelling of 214808400 in words is "two hundred fourteen million, eight hundred eight thousand, four hundred".