490161600 has 126 divisors (see below), whose sum is σ = 1742201240. Its totient is φ = 130705920.

The previous prime is 490161587. The next prime is 490161631. The reversal of 490161600 is 6161094.

490161600 is a `hidden beast` number, since 49 + 0 + 1 + 616 + 0 + 0 = 666.

It is a super-2 number, since 2×490161600² = 480516788229120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2620 + ... + 31419.

Almost surely, 2^490161600 is an apocalyptic number.

490161600 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 490161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871100620).

490161600 is an abundant number, since it is smaller than the sum of its proper divisors (1252039640).

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

490161600 is a wasteful number, since it uses less digits than its factorization.

490161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34067 (or 34049 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 490161600 is about 22139.5934922031. The cubic root of 490161600 is about 788.4601742407.

The spelling of 490161600 in words is "four hundred ninety million, one hundred sixty-one thousand, six hundred".