497106720 has 360 divisors, whose sum is σ = 1934442972. Its totient is φ = 120130560.

The previous prime is 497106697. The next prime is 497106761. The reversal of 497106720 is 27601794.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 440496144 + 56610576 = 20988^2 + 7524^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1568002 + ... + 1568318.

Almost surely, 2^497106720 is an apocalyptic number.

497106720 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 497106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967221486).

497106720 is an abundant number, since it is smaller than the sum of its proper divisors (1437336252).

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

497106720 is a wasteful number, since it uses less digits than its factorization.

497106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 497106720 is about 22295.8902042506. The cubic root of 497106720 is about 792.1666316060.

The spelling of 497106720 in words is "four hundred ninety-seven million, one hundred six thousand, seven hundred twenty".