497001312000 has 576 divisors, whose sum is σ = 1873389772800. Its totient is φ = 129703219200.

The previous prime is 497001311941. The next prime is 497001312007. The reversal of 497001312000 is 213100794.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×497001312000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497001312007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40601881 + ... + 40614119.

It is an arithmetic number, because the mean of its divisors is an integer number (3252412800).

Almost surely, 2^497001312000 is an apocalyptic number.

497001312000 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 497001312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936694886400).

497001312000 is an abundant number, since it is smaller than the sum of its proper divisors (1376388460800).

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

497001312000 is a wasteful number, since it uses less digits than its factorization.

497001312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12326 (or 12296 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 497001312000 its reverse (213100794), we get a palindrome (497214412794).

The spelling of 497001312000 in words is "four hundred ninety-seven billion, one million, three hundred twelve thousand".