490558950 has 384 divisors, whose sum is σ = 1682749440. Its totient is φ = 102643200.

The previous prime is 490558949. The next prime is 490558979. The reversal of 490558950 is 59855094.

490558950 is a `hidden beast` number, since 4 + 9 + 0 + 558 + 95 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 490558896 and 490558905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8041920 + ... + 8041980.

It is an arithmetic number, because the mean of its divisors is an integer number (4382160).

Almost surely, 2^490558950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490558950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841374720).

490558950 is an abundant number, since it is smaller than the sum of its proper divisors (1192190490).

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

490558950 is a wasteful number, since it uses less digits than its factorization.

490558950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

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

The square root of 490558950 is about 22148.5654162973. The cubic root of 490558950 is about 788.6731720430.

The spelling of 490558950 in words is "four hundred ninety million, five hundred fifty-eight thousand, nine hundred fifty".