497038325760 has 384 divisors, whose sum is σ = 1783133352000. Its totient is φ = 131319595008.

The previous prime is 497038325753. The next prime is 497038325761. The reversal of 497038325760 is 67523830794.

497038325760 is a `hidden beast` number, since 4 + 9 + 7 + 0 + 38 + 32 + 576 + 0 = 666.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 497038325697 and 497038325706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497038325761) 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 31 ways as a sum of consecutive naturals, for example, 30128074 + ... + 30144566.

Almost surely, 2^497038325760 is an apocalyptic number.

497038325760 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 497038325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891566676000).

497038325760 is an abundant number, since it is smaller than the sum of its proper divisors (1286095026240).

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

497038325760 is a wasteful number, since it uses less digits than its factorization.

497038325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16638 (or 16612 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 497038325760 in words is "four hundred ninety-seven billion, thirty-eight million, three hundred twenty-five thousand, seven hundred sixty".