497506752000 has 640 divisors, whose sum is σ = 1853161390080. Its totient is φ = 131565772800.

The previous prime is 497506751977. The next prime is 497506752007. The reversal of 497506752000 is 257605794.

497506752000 is a `hidden beast` number, since 4 + 97 + 506 + 7 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497506752007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219454867 + ... + 219457133.

It is an arithmetic number, because the mean of its divisors is an integer number (2895564672).

Almost surely, 2^497506752000 is an apocalyptic number.

497506752000 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 497506752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926580695040).

497506752000 is an abundant number, since it is smaller than the sum of its proper divisors (1355654638080).

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

497506752000 is a wasteful number, since it uses less digits than its factorization.

497506752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 497506752000 in words is "four hundred ninety-seven billion, five hundred six million, seven hundred fifty-two thousand".