504758940 has 192 divisors, whose sum is σ = 1740963840. Its totient is φ = 106686720.

The previous prime is 504758899. The next prime is 504758941. The reversal of 504758940 is 49857405.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 504758892 and 504758901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504758941) 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, 342405 + ... + 343875.

It is an arithmetic number, because the mean of its divisors is an integer number (9067520).

Almost surely, 2^504758940 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 504758940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870481920).

504758940 is an abundant number, since it is smaller than the sum of its proper divisors (1236204900).

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

504758940 is a wasteful number, since it uses less digits than its factorization.

504758940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 504758940 is about 22466.8408994233. The cubic root of 504758940 is about 796.2106943755.

The spelling of 504758940 in words is "five hundred four million, seven hundred fifty-eight thousand, nine hundred forty".