213654480 has 240 divisors, whose sum is σ = 752285184. Its totient is φ = 49812480.

The previous prime is 213654479. The next prime is 213654509. The reversal of 213654480 is 84456312.

213654480 is digitally balanced in base 2, 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 (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4545817 + ... + 4545863.

Almost surely, 2^213654480 is an apocalyptic number.

213654480 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 213654480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376142592).

213654480 is an abundant number, since it is smaller than the sum of its proper divisors (538630704).

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

213654480 is a wasteful number, since it uses less digits than its factorization.

213654480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 213654480 is about 14616.9244371037. The cubic root of 213654480 is about 597.8203134216.

It can be divided in two parts, 2136 and 54480, that added together give a triangular number (56616 = T₃₃₆).

The spelling of 213654480 in words is "two hundred thirteen million, six hundred fifty-four thousand, four hundred eighty".