505904940 has 240 divisors, whose sum is σ = 1658764800. Its totient is φ = 128988288.

The previous prime is 505904939. The next prime is 505904977. The reversal of 505904940 is 49409505.

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 = 505904895 and 505904904.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6403821 + ... + 6403899.

It is an arithmetic number, because the mean of its divisors is an integer number (6911520).

Almost surely, 2^505904940 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 505904940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829382400).

505904940 is an abundant number, since it is smaller than the sum of its proper divisors (1152859860).

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

505904940 is a wasteful number, since it uses less digits than its factorization.

505904940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 505904940 is about 22492.3306929273. The cubic root of 505904940 is about 796.8128087105.

The spelling of 505904940 in words is "five hundred five million, nine hundred four thousand, nine hundred forty".