505014480432 has 1200 divisors, whose sum is σ = 1927683912000. Its totient is φ = 127414425600.

The previous prime is 505014480409. The next prime is 505014480437. The reversal of 505014480432 is 234084410505.

It is a happy number.

505014480432 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 144 + 80 + 432 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (505014480437) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2205303294 + ... + 2205303522.

It is an arithmetic number, because the mean of its divisors is an integer number (1606403260).

Almost surely, 2^505014480432 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 505014480432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963841956000).

505014480432 is an abundant number, since it is smaller than the sum of its proper divisors (1422669431568).

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

505014480432 is a wasteful number, since it uses less digits than its factorization.

505014480432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 505014480432 its reverse (234084410505), we get a palindrome (739098890937).

The spelling of 505014480432 in words is "five hundred five billion, fourteen million, four hundred eighty thousand, four hundred thirty-two".