523461120 has 480 divisors, whose sum is σ = 2115989568. Its totient is φ = 109412352.

The previous prime is 523461119. The next prime is 523461121. The reversal of 523461120 is 21164325.

It is an interprime number because it is at equal distance from previous prime (523461119) and next prime (523461121).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (523461121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4892107 + ... + 4892213.

Almost surely, 2^523461120 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 523461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057994784).

523461120 is an abundant number, since it is smaller than the sum of its proper divisors (1592528448).

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

523461120 is a wasteful number, since it uses less digits than its factorization.

523461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 523461120 is about 22879.2727157137. The cubic root of 523461120 is about 805.9253379438.

The spelling of 523461120 in words is "five hundred twenty-three million, four hundred sixty-one thousand, one hundred twenty".