497946240 has 384 divisors, whose sum is σ = 1947628800. Its totient is φ = 116121600.

The previous prime is 497946209. The next prime is 497946277. The reversal of 497946240 is 42649794.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1837305 + ... + 1837575.

It is an arithmetic number, because the mean of its divisors is an integer number (5071950).

Almost surely, 2^497946240 is an apocalyptic number.

497946240 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 497946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973814400).

497946240 is an abundant number, since it is smaller than the sum of its proper divisors (1449682560).

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

497946240 is a wasteful number, since it uses less digits than its factorization.

497946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 497946240 is about 22314.7090503103. The cubic root of 497946240 is about 792.6123210853.

The spelling of 497946240 in words is "four hundred ninety-seven million, nine hundred forty-six thousand, two hundred forty".