360857952 has 288 divisors, whose sum is σ = 1293364800. Its totient is φ = 94832640.

The previous prime is 360857941. The next prime is 360857957. The reversal of 360857952 is 259758063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 360857898 and 360857907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360857957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284052 + ... + 1284332.

It is an arithmetic number, because the mean of its divisors is an integer number (4490850).

Almost surely, 2^360857952 is an apocalyptic number.

360857952 is a gapful number since it is divisible by the number (32) 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 360857952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646682400).

360857952 is an abundant number, since it is smaller than the sum of its proper divisors (932506848).

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

360857952 is a wasteful number, since it uses less digits than its factorization.

360857952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 360857952 is about 18996.2615269426. The cubic root of 360857952 is about 711.9433317690.

The spelling of 360857952 in words is "three hundred sixty million, eight hundred fifty-seven thousand, nine hundred fifty-two".