490642920 has 80 divisors (see below), whose sum is σ = 1649116260. Its totient is φ = 130837248.

The previous prime is 490642913. The next prime is 490642927. The reversal of 490642920 is 29246094.

490642920 is a `hidden beast` number, since 4 + 9 + 0 + 642 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (490642913) and next prime (490642927).

It can be written as a sum of positive squares in 2 ways, for example, as 465782724 + 24860196 = 21582^2 + 4986^2 .

It is a super-2 number, since 2×490642920² = 481460949892252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (490642927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72477 + ... + 78956.

Almost surely, 2^490642920 is an apocalyptic number.

490642920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490642920 is an abundant number, since it is smaller than the sum of its proper divisors (1158473340).

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

490642920 is a wasteful number, since it uses less digits than its factorization.

490642920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151456 (or 151443 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 490642920 is about 22150.4609432851. The cubic root of 490642920 is about 788.7181690871.

It can be divided in two parts, 49064 and 2920, that added together give a square (51984 = 228²).

The spelling of 490642920 in words is "four hundred ninety million, six hundred forty-two thousand, nine hundred twenty".