252149760 has 320 divisors, whose sum is σ = 951568200. Its totient is φ = 63700992.

The previous prime is 252149699. The next prime is 252149771. The reversal of 252149760 is 67941252.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13271031 + ... + 13271049.

Almost surely, 2^252149760 is an apocalyptic number.

252149760 is a gapful number since it is divisible by the number (20) 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 252149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475784100).

252149760 is an abundant number, since it is smaller than the sum of its proper divisors (699418440).

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

252149760 is an frugal number, since it uses more digits than its factorization.

252149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 252149760 is about 15879.2241624079. The cubic root of 252149760 is about 631.7610590632.

The spelling of 252149760 in words is "two hundred fifty-two million, one hundred forty-nine thousand, seven hundred sixty".