5120405304 has 256 divisors, whose sum is σ = 16456089600. Its totient is φ = 1292433408.

The previous prime is 5120405293. The next prime is 5120405309. The reversal of 5120405304 is 4035040215.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5120405309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6891157 + ... + 6891899.

It is an arithmetic number, because the mean of its divisors is an integer number (64281600).

Almost surely, 2^5120405304 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 5120405304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228044800).

5120405304 is an abundant number, since it is smaller than the sum of its proper divisors (11335684296).

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

5120405304 is a wasteful number, since it uses less digits than its factorization.

5120405304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5120405304 is about 71557.0073717452. The cubic root of 5120405304 is about 1723.5932300441.

Adding to 5120405304 its reverse (4035040215), we get a palindrome (9155445519).

The spelling of 5120405304 in words is "five billion, one hundred twenty million, four hundred five thousand, three hundred four".