492259680 has 288 divisors, whose sum is σ = 1902071808. Its totient is φ = 119232000.

The previous prime is 492259679. The next prime is 492259681. The reversal of 492259680 is 86952294.

It is an interprime number because it is at equal distance from previous prime (492259679) and next prime (492259681).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492259681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427105 + ... + 428255.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2^492259680 is an apocalyptic number.

492259680 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 492259680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951035904).

492259680 is an abundant number, since it is smaller than the sum of its proper divisors (1409812128).

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

492259680 is a wasteful number, since it uses less digits than its factorization.

492259680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 492259680 is about 22186.9258798960. The cubic root of 492259680 is about 789.5835437854.

The spelling of 492259680 in words is "four hundred ninety-two million, two hundred fifty-nine thousand, six hundred eighty".