213245400 has 96 divisors (see below), whose sum is σ = 663863760. Its totient is φ = 56624640.

The previous prime is 213245309. The next prime is 213245413. The reversal of 213245400 is 4542312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175194 + ... + 176406.

Almost surely, 2^213245400 is an apocalyptic number.

213245400 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 213245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331931880).

213245400 is an abundant number, since it is smaller than the sum of its proper divisors (450618360).

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

213245400 is a wasteful number, since it uses less digits than its factorization.

213245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 213245400 is about 14602.9243646607. The cubic root of 213245400 is about 597.4385247467.

Adding to 213245400 its reverse (4542312), we get a palindrome (217787712).

It can be divided in two parts, 213 and 245400, that multiplied together give a triangular number (52270200 = T₁₀₂₂₄).

The spelling of 213245400 in words is "two hundred thirteen million, two hundred forty-five thousand, four hundred".