216869952 has 224 divisors, whose sum is σ = 691286400. Its totient is φ = 59277312.

The previous prime is 216869923. The next prime is 216870007. The reversal of 216869952 is 259968612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806074 + ... + 806342.

It is an arithmetic number, because the mean of its divisors is an integer number (3086100).

Almost surely, 2^216869952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345643200).

216869952 is an abundant number, since it is smaller than the sum of its proper divisors (474416448).

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

216869952 is a wasteful number, since it uses less digits than its factorization.

216869952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 216869952 is about 14726.5050843708. The cubic root of 216869952 is about 600.8044321107.

The spelling of 216869952 in words is "two hundred sixteen million, eight hundred sixty-nine thousand, nine hundred fifty-two".