490516400 has 240 divisors, whose sum is σ = 1388268288. Its totient is φ = 164736000.

The previous prime is 490516399. The next prime is 490516421. The reversal of 490516400 is 4615094.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3744335 + ... + 3744465.

Almost surely, 2^490516400 is an apocalyptic number.

490516400 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 490516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694134144).

490516400 is an abundant number, since it is smaller than the sum of its proper divisors (897751888).

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

490516400 is a wasteful number, since it uses less digits than its factorization.

490516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 490516400 is about 22147.6048366409. The cubic root of 490516400 is about 788.6503687940.

The spelling of 490516400 in words is "four hundred ninety million, five hundred sixteen thousand, four hundred".