497968200 has 144 divisors (see below), whose sum is σ = 1717771380. Its totient is φ = 129185280.

The previous prime is 497968183. The next prime is 497968223. The reversal of 497968200 is 2869794.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 418366116 + 79602084 = 20454^2 + 8922^2 .

It is a super-2 number, since 2×497968200² = 495944656422480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62862 + ... + 70338.

Almost surely, 2^497968200 is an apocalyptic number.

497968200 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 497968200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858885690).

497968200 is an abundant number, since it is smaller than the sum of its proper divisors (1219803180).

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

497968200 is a wasteful number, since it uses less digits than its factorization.

497968200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7536 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 497968200 is about 22315.2010970101. The cubic root of 497968200 is about 792.6239726181.

The spelling of 497968200 in words is "four hundred ninety-seven million, nine hundred sixty-eight thousand, two hundred".