497993040 has 240 divisors, whose sum is σ = 1793188800. Its totient is φ = 123475968.

The previous prime is 497993039. The next prime is 497993057. The reversal of 497993040 is 40399794.

497993040 is a `hidden beast` number, since 497 + 99 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 806812 + ... + 807428.

It is an arithmetic number, because the mean of its divisors is an integer number (7471620).

Almost surely, 2^497993040 is an apocalyptic number.

497993040 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 497993040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896594400).

497993040 is an abundant number, since it is smaller than the sum of its proper divisors (1295195760).

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

497993040 is a wasteful number, since it uses less digits than its factorization.

497993040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 497993040 is about 22315.7576613477. The cubic root of 497993040 is about 792.6371518078.

The spelling of 497993040 in words is "four hundred ninety-seven million, nine hundred ninety-three thousand, forty".