526740480 has 528 divisors, whose sum is σ = 2207222784. Its totient is φ = 113541120.

The previous prime is 526740451. The next prime is 526740509. The reversal of 526740480 is 84047625.

It is an interprime number because it is at equal distance from previous prime (526740451) and next prime (526740509).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7418845 + ... + 7418915.

Almost surely, 2^526740480 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 526740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103611392).

526740480 is an abundant number, since it is smaller than the sum of its proper divisors (1680482304).

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

526740480 is a wasteful number, since it uses less digits than its factorization.

526740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 526740480 is about 22950.8274360643. The cubic root of 526740480 is about 807.6048127933.

The spelling of 526740480 in words is "five hundred twenty-six million, seven hundred forty thousand, four hundred eighty".