490437920 has 96 divisors (see below), whose sum is σ = 1328721408. Its totient is φ = 167574528.

The previous prime is 490437863. The next prime is 490437973. The reversal of 490437920 is 29734094.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444089 + ... + 445191.

It is an arithmetic number, because the mean of its divisors is an integer number (13840848).

Almost surely, 2^490437920 is an apocalyptic number.

490437920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490437920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664360704).

490437920 is an abundant number, since it is smaller than the sum of its proper divisors (838283488).

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

490437920 is a wasteful number, since it uses less digits than its factorization.

490437920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 490437920 is about 22145.8330166196. The cubic root of 490437920 is about 788.6083066039.

It can be divided in two parts, 4904 and 37920, that added together give a palindrome (42824).

The spelling of 490437920 in words is "four hundred ninety million, four hundred thirty-seven thousand, nine hundred twenty".