497546310240 has 1152 divisors, whose sum is σ = 2072201564160. Its totient is φ = 110397800448.

The previous prime is 497546310223. The next prime is 497546310293. The reversal of 497546310240 is 42013645794.

497546310240 is a `hidden beast` number, since 4 + 9 + 7 + 5 + 4 + 631 + 0 + 2 + 4 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1569546562 + ... + 1569546878.

It is an arithmetic number, because the mean of its divisors is an integer number (1798786080).

Almost surely, 2^497546310240 is an apocalyptic number.

497546310240 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 497546310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036100782080).

497546310240 is an abundant number, since it is smaller than the sum of its proper divisors (1574655253920).

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

497546310240 is a wasteful number, since it uses less digits than its factorization.

497546310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 497546310240 in words is "four hundred ninety-seven billion, five hundred forty-six million, three hundred ten thousand, two hundred forty".