497250249293952 has 1920 divisors, whose sum is σ = 1887966285004800. Its totient is φ = 127148648140800.

The previous prime is 497250249293951. The next prime is 497250249293971. The reversal of 497250249293952 is 259392942052794.

497250249293952 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 5 + 0 + 249 + 293 + 95 + 2 = 666.

It is a super-2 number, since 2×497250249293952² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (497250249293951) 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 239 ways as a sum of consecutive naturals, for example, 299007966273 + ... + 299007967935.

It is an arithmetic number, because the mean of its divisors is an integer number (983315773440).

Almost surely, 2^{497250249293952} is an apocalyptic number.

497250249293952 is a gapful number since it is divisible by the number (42) 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 497250249293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943983142502400).

497250249293952 is an abundant number, since it is smaller than the sum of its proper divisors (1390716035710848).

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

497250249293952 is a wasteful number, since it uses less digits than its factorization.

497250249293952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 497250249293952 in words is "four hundred ninety-seven trillion, two hundred fifty billion, two hundred forty-nine million, two hundred ninety-three thousand, nine hundred fifty-two".