490153092 has 144 divisors (see below), whose sum is σ = 1413928320. Its totient is φ = 131028480.

The previous prime is 490153091. The next prime is 490153109. The reversal of 490153092 is 290351094.

It is a Smith number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490153091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433584 + ... + 434712.

Almost surely, 2^490153092 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 490153092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706964160).

490153092 is an abundant number, since it is smaller than the sum of its proper divisors (923775228).

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

490153092 is a wasteful number, since it uses less digits than its factorization.

490153092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 490153092 is about 22139.4013469199. The cubic root of 490153092 is about 788.4556123044.

The spelling of 490153092 in words is "four hundred ninety million, one hundred fifty-three thousand, ninety-two".