505894950 has 288 divisors, whose sum is σ = 1622812800. Its totient is φ = 115473600.

The previous prime is 505894943. The next prime is 505894967. The reversal of 505894950 is 59498505.

505894950 is a `hidden beast` number, since 505 + 8 + 94 + 9 + 50 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 505894896 and 505894905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3103569 + ... + 3103731.

Almost surely, 2^505894950 is an apocalyptic number.

505894950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505894950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811406400).

505894950 is an abundant number, since it is smaller than the sum of its proper divisors (1116917850).

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

505894950 is a wasteful number, since it uses less digits than its factorization.

505894950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 505894950 is about 22492.1086161347. The cubic root of 505894950 is about 796.8075638435.

The spelling of 505894950 in words is "five hundred five million, eight hundred ninety-four thousand, nine hundred fifty".