497620800 has 168 divisors, whose sum is σ = 1814169600. Its totient is φ = 132687360.

The previous prime is 497620777. The next prime is 497620829. The reversal of 497620800 is 8026794.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37441 + ... + 48959.

Almost surely, 2^497620800 is an apocalyptic number.

497620800 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 497620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907084800).

497620800 is an abundant number, since it is smaller than the sum of its proper divisors (1316548800).

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

497620800 is a wasteful number, since it uses less digits than its factorization.

497620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11550 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 497620800 is about 22307.4158073050. The cubic root of 497620800 is about 792.4396090209.

The spelling of 497620800 in words is "four hundred ninety-seven million, six hundred twenty thousand, eight hundred".