216253464 has 192 divisors, whose sum is σ = 690703200. Its totient is φ = 55996416.

The previous prime is 216253451. The next prime is 216253469. The reversal of 216253464 is 464352612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216253469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579582 + ... + 579954.

Almost surely, 2^216253464 is an apocalyptic number.

216253464 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 216253464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345351600).

216253464 is an abundant number, since it is smaller than the sum of its proper divisors (474449736).

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

216253464 is a wasteful number, since it uses less digits than its factorization.

216253464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 216253464 is about 14705.5589489145. The cubic root of 216253464 is about 600.2345971506.

The spelling of 216253464 in words is "two hundred sixteen million, two hundred fifty-three thousand, four hundred sixty-four".