527976480 has 192 divisors, whose sum is σ = 1783192320. Its totient is φ = 130842624.

The previous prime is 527976461. The next prime is 527976481. The reversal of 527976480 is 84679725.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (527976481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725877 + ... + 726603.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2^527976480 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 527976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891596160).

527976480 is an abundant number, since it is smaller than the sum of its proper divisors (1255215840).

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

527976480 is a wasteful number, since it uses less digits than its factorization.

527976480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 527976480 is about 22977.7387921440. The cubic root of 527976480 is about 808.2360026880.

The spelling of 527976480 in words is "five hundred twenty-seven million, nine hundred seventy-six thousand, four hundred eighty".