492208000 has 64 divisors (see below), whose sum is σ = 1223791920. Its totient is φ = 196876800.

The previous prime is 492207967. The next prime is 492208007. The reversal of 492208000 is 802294.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492208007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619 + ... + 31381.

Almost surely, 2^492208000 is an apocalyptic number.

492208000 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 492208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611895960).

492208000 is an abundant number, since it is smaller than the sum of its proper divisors (731583920).

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

492208000 is an equidigital number, since it uses as much as digits as its factorization.

492208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30792 (or 30770 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 492208000 is about 22185.7611994721. The cubic root of 492208000 is about 789.5559112795. Note that the first 3 decimals are identical.

The spelling of 492208000 in words is "four hundred ninety-two million, two hundred eight thousand".