526400112 has 160 divisors (see below), whose sum is σ = 1628467200. Its totient is φ = 143345664.

The previous prime is 526400101. The next prime is 526400113. The reversal of 526400112 is 211004625.

It is a super-2 number, since 2×526400112² = 554194155827225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526400113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866913 + ... + 867519.

It is an arithmetic number, because the mean of its divisors is an integer number (10177920).

Almost surely, 2^526400112 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 526400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

526400112 is an abundant number, since it is smaller than the sum of its proper divisors (1102067088).

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

526400112 is a wasteful number, since it uses less digits than its factorization.

526400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 526400112 is about 22943.4110803080. The cubic root of 526400112 is about 807.4308232138.

Adding to 526400112 its reverse (211004625), we get a palindrome (737404737).

The spelling of 526400112 in words is "five hundred twenty-six million, four hundred thousand, one hundred twelve".