526464432 has 240 divisors, whose sum is σ = 1711015488. Its totient is φ = 149667840.

The previous prime is 526464427. The next prime is 526464467. The reversal of 526464432 is 234464625.

526464432 is a `hidden beast` number, since 5 + 2 + 6 + 4 + 644 + 3 + 2 = 666.

It is a super-2 number, since 2×526464432² = 554329596322165248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2259388 + ... + 2259620.

Almost surely, 2^526464432 is an apocalyptic number.

526464432 is a gapful number since it is divisible by the number (52) 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 526464432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855507744).

526464432 is an abundant number, since it is smaller than the sum of its proper divisors (1184551056).

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

526464432 is a wasteful number, since it uses less digits than its factorization.

526464432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 526464432 is about 22944.8127471113. The cubic root of 526464432 is about 807.4637081077.

It can be divided in two parts, 5264 and 64432, that added together give a palindrome (69696).

The spelling of 526464432 in words is "five hundred twenty-six million, four hundred sixty-four thousand, four hundred thirty-two".