213764480 has 64 divisors (see below), whose sum is σ = 516246480. Its totient is φ = 84633600.

The previous prime is 213764471. The next prime is 213764491. The reversal of 213764480 is 84467312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 213764480.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 62987 + ... + 66293.

Almost surely, 2^213764480 is an apocalyptic number.

213764480 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 213764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258123240).

213764480 is an abundant number, since it is smaller than the sum of its proper divisors (302482000).

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

213764480 is a wasteful number, since it uses less digits than its factorization.

213764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 213764480 is about 14620.6867143784. The cubic root of 213764480 is about 597.9228917405.

The spelling of 213764480 in words is "two hundred thirteen million, seven hundred sixty-four thousand, four hundred eighty".