361252000 has 48 divisors (see below), whose sum is σ = 887605992. Its totient is φ = 144499200.

The previous prime is 361251991. The next prime is 361252033. The reversal of 361252000 is 252163.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11861136 + 349390864 = 3444^2 + 18692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41157 + ... + 49156.

Almost surely, 2^361252000 is an apocalyptic number.

It is an amenable number.

361252000 is an abundant number, since it is smaller than the sum of its proper divisors (526353992).

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

361252000 is an equidigital number, since it uses as much as digits as its factorization.

361252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90338 (or 90320 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 361252000 is about 19006.6304220396. The cubic root of 361252000 is about 712.2023790313.

It can be divided in two parts, 36125 and 2000, that multiplied together give a square (72250000 = 8500²).

The spelling of 361252000 in words is "three hundred sixty-one million, two hundred fifty-two thousand".