252219968 has 224 divisors, whose sum is σ = 699138048. Its totient is φ = 87091200.

The previous prime is 252219953. The next prime is 252219977. The reversal of 252219968 is 869912252.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×252219968² = 127229824515842048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 1985921 + ... + 1986047.

It is an arithmetic number, because the mean of its divisors is an integer number (3121152).

Almost surely, 2^252219968 is an apocalyptic number.

252219968 is a gapful number since it is divisible by the number (28) 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 252219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349569024).

252219968 is an abundant number, since it is smaller than the sum of its proper divisors (446918080).

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

252219968 is a wasteful number, since it uses less digits than its factorization.

252219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its digits is 155520, while the sum is 44.

The square root of 252219968 is about 15881.4346958957. The cubic root of 252219968 is about 631.8196889880.

The spelling of 252219968 in words is "two hundred fifty-two million, two hundred nineteen thousand, nine hundred sixty-eight".