1952148352 has 256 divisors, whose sum is σ = 5245378560. Its totient is φ = 700416000.

The previous prime is 1952148343. The next prime is 1952148361. The reversal of 1952148352 is 2538412591.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1952148343) and next prime (1952148361).

It is a congruent number.

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, 10220577 + ... + 10220767.

It is an arithmetic number, because the mean of its divisors is an integer number (20489760).

Almost surely, 2^1952148352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1952148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622689280).

1952148352 is an abundant number, since it is smaller than the sum of its proper divisors (3293230208).

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

1952148352 is a wasteful number, since it uses less digits than its factorization.

1952148352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The square root of 1952148352 is about 44183.1229317259. The cubic root of 1952148352 is about 1249.7916136887.

The spelling of 1952148352 in words is "one billion, nine hundred fifty-two million, one hundred forty-eight thousand, three hundred fifty-two".