490465800 has 384 divisors, whose sum is σ = 1928448000. Its totient is φ = 113414400.

The previous prime is 490465771. The next prime is 490465873. The reversal of 490465800 is 8564094.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1366021 + ... + 1366379.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2^490465800 is an apocalyptic number.

490465800 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 490465800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964224000).

490465800 is an abundant number, since it is smaller than the sum of its proper divisors (1437982200).

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

490465800 is a wasteful number, since it uses less digits than its factorization.

490465800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 490465800 is about 22146.4624714648. The cubic root of 490465800 is about 788.6232497001.

The spelling of 490465800 in words is "four hundred ninety million, four hundred sixty-five thousand, eight hundred".