492878880 has 288 divisors, whose sum is σ = 1835202096. Its totient is φ = 119734272.

The previous prime is 492878879. The next prime is 492878899. The reversal of 492878880 is 88878294.

492878880 is a `hidden beast` number, since 492 + 8 + 78 + 8 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 571536 + 492307344 = 756^2 + 22188^2 .

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

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, 2115244 + ... + 2115476.

Almost surely, 2^492878880 is an apocalyptic number.

492878880 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 492878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917601048).

492878880 is an abundant number, since it is smaller than the sum of its proper divisors (1342323216).

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

492878880 is a wasteful number, since it uses less digits than its factorization.

492878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 492878880 is about 22200.8756584059. The cubic root of 492878880 is about 789.9144702576.

The spelling of 492878880 in words is "four hundred ninety-two million, eight hundred seventy-eight thousand, eight hundred eighty".