497081401600 has 243 divisors, whose sum is σ = 1432365983517. Its totient is φ = 170292541440.

The previous prime is 497081401547. The next prime is 497081401631. The reversal of 497081401600 is 6104180794.

The square root of 497081401600 is 705040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 178949304576 + 318132097024 = 423024^2 + 564032^2 .

It is a super-3 number, since 3×497081401600³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 394821771 + ... + 394823029.

Almost surely, 2^497081401600 is an apocalyptic number.

497081401600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

497081401600 is the 705040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497081401600

497081401600 is an abundant number, since it is smaller than the sum of its proper divisors (935284581917).

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

497081401600 is an frugal number, since it uses more digits than its factorization.

497081401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 497081401600 in words is "four hundred ninety-seven billion, eighty-one million, four hundred one thousand, six hundred".