213402420 has 288 divisors, whose sum is σ = 820834560. Its totient is φ = 43591680.

The previous prime is 213402373. The next prime is 213402457. The reversal of 213402420 is 24204312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213402393 and 213402402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1233454 + ... + 1233626.

It is an arithmetic number, because the mean of its divisors is an integer number (2850120).

Almost surely, 2^213402420 is an apocalyptic number.

213402420 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 213402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410417280).

213402420 is an abundant number, since it is smaller than the sum of its proper divisors (607432140).

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

213402420 is a wasteful number, since it uses less digits than its factorization.

213402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 213402420 is about 14608.2996957209. The cubic root of 213402420 is about 597.5851270203.

Adding to 213402420 its reverse (24204312), we get a palindrome (237606732).

The spelling of 213402420 in words is "two hundred thirteen million, four hundred two thousand, four hundred twenty".