490450032 has 80 divisors (see below), whose sum is σ = 1410624000. Its totient is φ = 163152576.

The previous prime is 490450031. The next prime is 490450061. The reversal of 490450032 is 230054094.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 490449978 and 490450005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490450031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309819 + ... + 311397.

It is an arithmetic number, because the mean of its divisors is an integer number (17632800).

Almost surely, 2^490450032 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 490450032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705312000).

490450032 is an abundant number, since it is smaller than the sum of its proper divisors (920173968).

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

490450032 is a wasteful number, since it uses less digits than its factorization.

490450032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 490450032 is about 22146.1064749540. The cubic root of 490450032 is about 788.6147984519.

The spelling of 490450032 in words is "four hundred ninety million, four hundred fifty thousand, thirty-two".