252216864 has 72 divisors (see below), whose sum is σ = 736657740. Its totient is φ = 81796608.

The previous prime is 252216859. The next prime is 252216911. The reversal of 252216864 is 468612252.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 246741264 + 5475600 = 15708^2 + 2340^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×252216864² = 127226692971988992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1179 + ... + 22490.

Almost surely, 2^252216864 is an apocalyptic number.

252216864 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 252216864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368328870).

252216864 is an abundant number, since it is smaller than the sum of its proper divisors (484440876).

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

252216864 is a wasteful number, since it uses less digits than its factorization.

252216864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23722 (or 23711 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 252216864 is about 15881.3369714266. The cubic root of 252216864 is about 631.8170971018.

The spelling of 252216864 in words is "two hundred fifty-two million, two hundred sixteen thousand, eight hundred sixty-four".