490733100 has 576 divisors, whose sum is σ = 1959874560. Its totient is φ = 103680000.

The previous prime is 490733057. The next prime is 490733119. The reversal of 490733100 is 1337094.

490733100 is a `hidden beast` number, since 490 + 73 + 3 + 100 = 666.

It is a super-2 number, since 2×490733100² = 481637950871220000, which contains 22 as substring.

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

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, 11969080 + ... + 11969120.

It is an arithmetic number, because the mean of its divisors is an integer number (3402560).

Almost surely, 2^490733100 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 490733100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979937280).

490733100 is an abundant number, since it is smaller than the sum of its proper divisors (1469141460).

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

490733100 is a wasteful number, since it uses less digits than its factorization.

490733100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 490733100 is about 22152.4964733097. The cubic root of 490733100 is about 788.7664881696.

The spelling of 490733100 in words is "four hundred ninety million, seven hundred thirty-three thousand, one hundred".