213429600 has 288 divisors, whose sum is σ = 794011680. Its totient is φ = 55296000.

The previous prime is 213429553. The next prime is 213429607. The reversal of 213429600 is 6924312.

213429600 = T₂₂₅₅ + T₂₂₅₆ + ... + T₂₃₃₅.

213429600 is a `hidden beast` number, since 2 + 1 + 34 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213429607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885480 + ... + 885720.

It is an arithmetic number, because the mean of its divisors is an integer number (2756985).

Almost surely, 2^213429600 is an apocalyptic number.

213429600 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 213429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397005840).

213429600 is an abundant number, since it is smaller than the sum of its proper divisors (580582080).

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

213429600 is a wasteful number, since it uses less digits than its factorization.

213429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

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

The square root of 213429600 is about 14609.2299591731. The cubic root of 213429600 is about 597.6104964205.

The spelling of 213429600 in words is "two hundred thirteen million, four hundred twenty-nine thousand, six hundred".