520945344 has 336 divisors, whose sum is σ = 1708586880. Its totient is φ = 156764160.

The previous prime is 520945333. The next prime is 520945351. The reversal of 520945344 is 443549025.

It is a happy number.

520945344 is a `hidden beast` number, since 520 + 94 + 5 + 3 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 520945299 and 520945308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12114987 + ... + 12115029.

It is an arithmetic number, because the mean of its divisors is an integer number (5085080).

Almost surely, 2^520945344 is an apocalyptic number.

520945344 is a gapful number since it is divisible by the number (54) 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 520945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854293440).

520945344 is an abundant number, since it is smaller than the sum of its proper divisors (1187641536).

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

520945344 is a wasteful number, since it uses less digits than its factorization.

520945344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 520945344 is about 22824.2271282074. The cubic root of 520945344 is about 804.6321604289.

The spelling of 520945344 in words is "five hundred twenty million, nine hundred forty-five thousand, three hundred forty-four".