492951732 has 192 divisors, whose sum is σ = 1556459520. Its totient is φ = 117697536.

The previous prime is 492951689. The next prime is 492951761. The reversal of 492951732 is 237159294.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 476688 + ... + 477720.

It is an arithmetic number, because the mean of its divisors is an integer number (8106560).

Almost surely, 2^492951732 is an apocalyptic number.

492951732 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 492951732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778229760).

492951732 is an abundant number, since it is smaller than the sum of its proper divisors (1063507788).

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

492951732 is a wasteful number, since it uses less digits than its factorization.

492951732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1100 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 492951732 is about 22202.5163438742. The cubic root of 492951732 is about 789.9533871979.

The spelling of 492951732 in words is "four hundred ninety-two million, nine hundred fifty-one thousand, seven hundred thirty-two".