526964480 has 144 divisors (see below), whose sum is σ = 1459121664. Its totient is φ = 178606080.

The previous prime is 526964479. The next prime is 526964497. The reversal of 526964480 is 84469625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922595 + ... + 923165.

Almost surely, 2^526964480 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 526964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729560832).

526964480 is an abundant number, since it is smaller than the sum of its proper divisors (932157184).

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

526964480 is a wasteful number, since it uses less digits than its factorization.

526964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 526964480 is about 22955.7069157105. The cubic root of 526964480 is about 807.7192763970.

The spelling of 526964480 in words is "five hundred twenty-six million, nine hundred sixty-four thousand, four hundred eighty".