492354000 has 240 divisors, whose sum is σ = 1821914640. Its totient is φ = 123494400.

The previous prime is 492353957. The next prime is 492354019. The reversal of 492354000 is 453294.

It can be written as a sum of positive squares in 8 ways, for example, as 9585216 + 482768784 = 3096^2 + 21972^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×492354000³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305196 + ... + 306804.

It is an arithmetic number, because the mean of its divisors is an integer number (7591311).

Almost surely, 2^492354000 is an apocalyptic number.

492354000 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 492354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910957320).

492354000 is an abundant number, since it is smaller than the sum of its proper divisors (1329560640).

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

492354000 is a wasteful number, since it uses less digits than its factorization.

492354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1636 counting only the distinct ones).

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

The square root of 492354000 is about 22189.0513542152. The cubic root of 492354000 is about 789.6339702621.

It can be divided in two parts, 49235 and 4000, that added together give a palindrome (53235).

The spelling of 492354000 in words is "four hundred ninety-two million, three hundred fifty-four thousand".