492350040 has 576 divisors, whose sum is σ = 2128744800. Its totient is φ = 97542144.

The previous prime is 492349999. The next prime is 492350077. The reversal of 492350040 is 40053294.

It is a junction number, because it is equal to n+sod(n) for n = 492349986 and 492350013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4357024 + ... + 4357136.

Almost surely, 2^492350040 is an apocalyptic number.

492350040 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 492350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064372400).

492350040 is an abundant number, since it is smaller than the sum of its proper divisors (1636394760).

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

492350040 is a wasteful number, since it uses less digits than its factorization.

492350040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 492350040 is about 22188.9621208384. The cubic root of 492350040 is about 789.6318532495.

It can be divided in two parts, 49 and 2350040, that added together give a square (2350089 = 1533²).

The spelling of 492350040 in words is "four hundred ninety-two million, three hundred fifty thousand, forty".