527709420 has 432 divisors, whose sum is σ = 2031644160. Its totient is φ = 110170368.

The previous prime is 527709419. The next prime is 527709443. The reversal of 527709420 is 24907725.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 7876227 + ... + 7876293.

It is an arithmetic number, because the mean of its divisors is an integer number (4702880).

Almost surely, 2^527709420 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 527709420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015822080).

527709420 is an abundant number, since it is smaller than the sum of its proper divisors (1503934740).

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

527709420 is a wasteful number, since it uses less digits than its factorization.

527709420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 527709420 is about 22971.9267803117. The cubic root of 527709420 is about 808.0997062692.

The spelling of 527709420 in words is "five hundred twenty-seven million, seven hundred nine thousand, four hundred twenty".