505656120 has 128 divisors (see below), whose sum is σ = 1605484800. Its totient is φ = 127051776.

The previous prime is 505656119. The next prime is 505656191. The reversal of 505656120 is 21656505.

It is a super-2 number, since 2×505656120² = 511376223386908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517072 + ... + 518048.

It is an arithmetic number, because the mean of its divisors is an integer number (12542850).

Almost surely, 2^505656120 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 505656120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802742400).

505656120 is an abundant number, since it is smaller than the sum of its proper divisors (1099828680).

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

505656120 is a wasteful number, since it uses less digits than its factorization.

505656120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 505656120 is about 22486.7987939591. The cubic root of 505656120 is about 796.6821547343.

The spelling of 505656120 in words is "five hundred five million, six hundred fifty-six thousand, one hundred twenty".