492146928 has 360 divisors, whose sum is σ = 1784135808. Its totient is φ = 128583936.

The previous prime is 492146909. The next prime is 492146933. The reversal of 492146928 is 829641294.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4599451 + ... + 4599557.

Almost surely, 2^492146928 is an apocalyptic number.

492146928 is a gapful number since it is divisible by the number (48) 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 492146928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892067904).

492146928 is an abundant number, since it is smaller than the sum of its proper divisors (1291988880).

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

492146928 is a wasteful number, since it uses less digits than its factorization.

492146928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 492146928 is about 22184.3847784878. The cubic root of 492146928 is about 789.5232545211.

The spelling of 492146928 in words is "four hundred ninety-two million, one hundred forty-six thousand, nine hundred twenty-eight".