492144000 has 128 divisors (see below), whose sum is σ = 1631616480. Its totient is φ = 131225600.

The previous prime is 492143969. The next prime is 492144001. The reversal of 492144000 is 441294.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492144001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42874 + ... + 53126.

Almost surely, 2^492144000 is an apocalyptic number.

492144000 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 492144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815808240).

492144000 is an abundant number, since it is smaller than the sum of its proper divisors (1139472480).

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

492144000 is a wasteful number, since it uses less digits than its factorization.

492144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10285 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 492144000 is about 22184.3187860254. The cubic root of 492144000 is about 789.5216887769.

Adding to 492144000 its reverse (441294), we get a palindrome (492585294).

The spelling of 492144000 in words is "four hundred ninety-two million, one hundred forty-four thousand".