527410240 has 224 divisors, whose sum is σ = 1553748480. Its totient is φ = 166526976.

The previous prime is 527410237. The next prime is 527410249. The reversal of 527410240 is 42014725.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×527410240² = 556323122513715200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (527410249) 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, 1493904 + ... + 1494256.

Almost surely, 2^527410240 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 527410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776874240).

527410240 is an abundant number, since it is smaller than the sum of its proper divisors (1026338240).

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

527410240 is a wasteful number, since it uses less digits than its factorization.

527410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 527410240 is about 22965.4139958330. The cubic root of 527410240 is about 807.9469625024.

Adding to 527410240 its reverse (42014725), we get a palindrome (569424965).

The spelling of 527410240 in words is "five hundred twenty-seven million, four hundred ten thousand, two hundred forty".