213462900 has 216 divisors, whose sum is σ = 790060544. Its totient is φ = 47174400.

The previous prime is 213462889. The next prime is 213462919. The reversal of 213462900 is 9264312.

213462900 is a `hidden beast` number, since 2 + 1 + 34 + 629 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194754 + ... + 195846.

Almost surely, 2^213462900 is an apocalyptic number.

213462900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213462900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395030272).

213462900 is an abundant number, since it is smaller than the sum of its proper divisors (576597644).

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

213462900 is a wasteful number, since it uses less digits than its factorization.

213462900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 213462900 is about 14610.3696051811. The cubic root of 213462900 is about 597.6415752004.

The spelling of 213462900 in words is "two hundred thirteen million, four hundred sixty-two thousand, nine hundred".