216441504 has 96 divisors (see below), whose sum is σ = 651732480. Its totient is φ = 69811200.

The previous prime is 216441497. The next prime is 216441509. The reversal of 216441504 is 405144612.

216441504 is a `hidden beast` number, since 2 + 1 + 644 + 15 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (216441509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22744 + ... + 30824.

It is an arithmetic number, because the mean of its divisors is an integer number (6788880).

Almost surely, 2^216441504 is an apocalyptic number.

216441504 is a gapful number since it is divisible by the number (24) 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 216441504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325866240).

216441504 is an abundant number, since it is smaller than the sum of its proper divisors (435290976).

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

216441504 is a wasteful number, since it uses less digits than its factorization.

216441504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8131 (or 8117 counting only the distinct ones).

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

The square root of 216441504 is about 14711.9510602775. The cubic root of 216441504 is about 600.4085217868.

The spelling of 216441504 in words is "two hundred sixteen million, four hundred forty-one thousand, five hundred four".