526677480 has 288 divisors, whose sum is σ = 2023374600. Its totient is φ = 118444032.

The previous prime is 526677469. The next prime is 526677491. The reversal of 526677480 is 84776625.

It is an interprime number because it is at equal distance from previous prime (526677469) and next prime (526677491).

It can be written as a sum of positive squares in 4 ways, for example, as 508682916 + 17994564 = 22554^2 + 4242^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1287516 + ... + 1287924.

Almost surely, 2^526677480 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 526677480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011687300).

526677480 is an abundant number, since it is smaller than the sum of its proper divisors (1496697120).

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

526677480 is a wasteful number, since it uses less digits than its factorization.

526677480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 526677480 is about 22949.4548954872. The cubic root of 526677480 is about 807.5726140581.

The spelling of 526677480 in words is "five hundred twenty-six million, six hundred seventy-seven thousand, four hundred eighty".