252094464 has 192 divisors, whose sum is σ = 770515200. Its totient is φ = 81395712.

The previous prime is 252094463. The next prime is 252094483. The reversal of 252094464 is 464490252.

252094464 is a `hidden beast` number, since 2 + 5 + 209 + 446 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252094463) 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, 2598864 + ... + 2598960.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 2^252094464 is an apocalyptic number.

252094464 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 252094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385257600).

252094464 is an abundant number, since it is smaller than the sum of its proper divisors (518420736).

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

252094464 is an equidigital number, since it uses as much as digits as its factorization.

252094464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 252094464 is about 15877.4829239398. The cubic root of 252094464 is about 631.7148743230.

The spelling of 252094464 in words is "two hundred fifty-two million, ninety-four thousand, four hundred sixty-four".