492890400 has 288 divisors, whose sum is σ = 1878004800. Its totient is φ = 124416000.

The previous prime is 492890393. The next prime is 492890413. The reversal of 492890400 is 4098294.

It is a happy number.

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 (36).

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, 409800 + ... + 411000.

It is an arithmetic number, because the mean of its divisors is an integer number (6520850).

Almost surely, 2^492890400 is an apocalyptic number.

492890400 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 492890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939002400).

492890400 is an abundant number, since it is smaller than the sum of its proper divisors (1385114400).

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

492890400 is a wasteful number, since it uses less digits than its factorization.

492890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 492890400 is about 22201.1351061156. The cubic root of 492890400 is about 789.9206244023.

The spelling of 492890400 in words is "four hundred ninety-two million, eight hundred ninety thousand, four hundred".