527040000 has 400 divisors, whose sum is σ = 1981428240. Its totient is φ = 138240000.

The previous prime is 527039977. The next prime is 527040013. The reversal of 527040000 is 40725.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639970 + ... + 8640030.

Almost surely, 2^527040000 is an apocalyptic number.

527040000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990714120).

527040000 is an abundant number, since it is smaller than the sum of its proper divisors (1454388240).

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

527040000 is an frugal number, since it uses more digits than its factorization.

527040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 527040000 is about 22957.3517636508. The cubic root of 527040000 is about 807.7578596718.

Adding to 527040000 its reverse (40725), we get a palindrome (527080725).

The spelling of 527040000 in words is "five hundred twenty-seven million, forty thousand".