492993000 has 384 divisors, whose sum is σ = 1858896000. Its totient is φ = 120528000.

The previous prime is 492992989. The next prime is 492993023. The reversal of 492993000 is 399294.

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 95 ways as a sum of consecutive naturals, for example, 15902985 + ... + 15903015.

It is an arithmetic number, because the mean of its divisors is an integer number (4840875).

Almost surely, 2^492993000 is an apocalyptic number.

492993000 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 492993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929448000).

492993000 is an abundant number, since it is smaller than the sum of its proper divisors (1365903000).

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

492993000 is a wasteful number, since it uses less digits than its factorization.

492993000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 492993000 is about 22203.4456785428. The cubic root of 492993000 is about 789.9754305236.

The spelling of 492993000 in words is "four hundred ninety-two million, nine hundred ninety-three thousand".