213746480 has 40 divisors (see below), whose sum is σ = 497587200. Its totient is φ = 85390848.

The previous prime is 213746453. The next prime is 213746483. The reversal of 213746480 is 84647312.

213746480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 213746480.

It is not an unprimeable number, because it can be changed into a prime (213746483) by changing a digit.

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, 101276 + ... + 103364.

It is an arithmetic number, because the mean of its divisors is an integer number (12439680).

Almost surely, 2^213746480 is an apocalyptic number.

213746480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213746480 is an abundant number, since it is smaller than the sum of its proper divisors (283840720).

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

213746480 is a wasteful number, since it uses less digits than its factorization.

213746480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3375 counting only the distinct ones).

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

The square root of 213746480 is about 14620.0711352579. The cubic root of 213746480 is about 597.9061086058.

The spelling of 213746480 in words is "two hundred thirteen million, seven hundred forty-six thousand, four hundred eighty".