526379952 has 120 divisors (see below), whose sum is σ = 1665220800. Its totient is φ = 142466688.

The previous prime is 526379951. The next prime is 526379963. The reversal of 526379952 is 259973625.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (526379951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38799 + ... + 50577.

It is an arithmetic number, because the mean of its divisors is an integer number (13876840).

Almost surely, 2^526379952 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 526379952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832610400).

526379952 is an abundant number, since it is smaller than the sum of its proper divisors (1138840848).

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

526379952 is a wasteful number, since it uses less digits than its factorization.

526379952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11823 (or 11810 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 48.

The square root of 526379952 is about 22942.9717342806. The cubic root of 526379952 is about 807.4205154569.

The spelling of 526379952 in words is "five hundred twenty-six million, three hundred seventy-nine thousand, nine hundred fifty-two".