213857280 has 704 divisors, whose sum is σ = 990420480. Its totient is φ = 42467328.

The previous prime is 213857269. The next prime is 213857309. The reversal of 213857280 is 82758312.

213857280 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 572 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12579832 + ... + 12579848.

Almost surely, 2^213857280 is an apocalyptic number.

213857280 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 213857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495210240).

213857280 is an abundant number, since it is smaller than the sum of its proper divisors (776563200).

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

213857280 is a wasteful number, since it uses less digits than its factorization.

213857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 213857280 is about 14623.8599555658. The cubic root of 213857280 is about 598.0094031772.

The spelling of 213857280 in words is "two hundred thirteen million, eight hundred fifty-seven thousand, two hundred eighty".