526992480 has 480 divisors, whose sum is σ = 2196887616. Its totient is φ = 116453376.

The previous prime is 526992461. The next prime is 526992497. The reversal of 526992480 is 84299625.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 3356562 + ... + 3356718.

Almost surely, 2^526992480 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 526992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098443808).

526992480 is an abundant number, since it is smaller than the sum of its proper divisors (1669895136).

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

526992480 is a wasteful number, since it uses less digits than its factorization.

526992480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 526992480 is about 22956.3167777412. The cubic root of 526992480 is about 807.7335820666.

The spelling of 526992480 in words is "five hundred twenty-six million, nine hundred ninety-two thousand, four hundred eighty".