497630952 has 384 divisors, whose sum is σ = 1797868800. Its totient is φ = 125411328.

The previous prime is 497630933. The next prime is 497630963. The reversal of 497630952 is 259036794.

It is a happy number.

497630952 is a `hidden beast` number, since 4 + 9 + 7 + 630 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 497630898 and 497630907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5130168 + ... + 5130264.

It is an arithmetic number, because the mean of its divisors is an integer number (4681950).

Almost surely, 2^497630952 is an apocalyptic number.

497630952 is a gapful number since it is divisible by the number (42) 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 497630952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898934400).

497630952 is an abundant number, since it is smaller than the sum of its proper divisors (1300237848).

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

497630952 is a wasteful number, since it uses less digits than its factorization.

497630952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 497630952 is about 22307.6433537924. The cubic root of 497630952 is about 792.4449978579. Note that the first 3 decimals are identical.

The spelling of 497630952 in words is "four hundred ninety-seven million, six hundred thirty thousand, nine hundred fifty-two".