523282464 has 96 divisors (see below), whose sum is σ = 1544840640. Its totient is φ = 172302336.

The previous prime is 523282451. The next prime is 523282489. The reversal of 523282464 is 464282325.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×523282464² = 547649074259822592, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68064 + ... + 75360.

It is an arithmetic number, because the mean of its divisors is an integer number (16092090).

Almost surely, 2^523282464 is an apocalyptic number.

523282464 is a gapful number since it is divisible by the number (54) 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 523282464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772420320).

523282464 is an abundant number, since it is smaller than the sum of its proper divisors (1021558176).

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

523282464 is a wasteful number, since it uses less digits than its factorization.

523282464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7385 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 523282464 is about 22875.3680626127. The cubic root of 523282464 is about 805.8336407288.

The spelling of 523282464 in words is "five hundred twenty-three million, two hundred eighty-two thousand, four hundred sixty-four".