490353600 has 336 divisors, whose sum is σ = 1809634176. Its totient is φ = 115200000.

The previous prime is 490353541. The next prime is 490353607. The reversal of 490353600 is 6353094.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490353607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1953475 + ... + 1953725.

It is an arithmetic number, because the mean of its divisors is an integer number (5385816).

Almost surely, 2^490353600 is an apocalyptic number.

490353600 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 490353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904817088).

490353600 is an abundant number, since it is smaller than the sum of its proper divisors (1319280576).

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

490353600 is a wasteful number, since it uses less digits than its factorization.

490353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 490353600 is about 22143.9291906382. The cubic root of 490353600 is about 788.5631094030.

The spelling of 490353600 in words is "four hundred ninety million, three hundred fifty-three thousand, six hundred".