213454080 has 216 divisors, whose sum is σ = 844351872. Its totient is φ = 48771072.

The previous prime is 213454079. The next prime is 213454081. The reversal of 213454080 is 80454312.

213454080 is a `hidden beast` number, since 213 + 45 + 408 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213454079) and next prime (213454081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213454081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79317 + ... + 81963.

Almost surely, 2^213454080 is an apocalyptic number.

213454080 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 213454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422175936).

213454080 is an abundant number, since it is smaller than the sum of its proper divisors (630897792).

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

213454080 is a wasteful number, since it uses less digits than its factorization.

213454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 213454080 is about 14610.0677616498. The cubic root of 213454080 is about 597.6333438382.

It can be divided in two parts, 21345 and 4080, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 213454080 in words is "two hundred thirteen million, four hundred fifty-four thousand, eighty".