498794400 has 324 divisors, whose sum is σ = 1920474738. Its totient is φ = 121098240.

The previous prime is 498794381. The next prime is 498794407. The reversal of 498794400 is 4497894.

It can be written as a sum of positive squares in 9 ways, for example, as 7551504 + 491242896 = 2748^2 + 22164^2 .

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

It is not an unprimeable number, because it can be changed into a prime (498794407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6832764 + ... + 6832836.

Almost surely, 2^498794400 is an apocalyptic number.

498794400 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 498794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960237369).

498794400 is an abundant number, since it is smaller than the sum of its proper divisors (1421680338).

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

498794400 is a wasteful number, since it uses less digits than its factorization.

498794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 498794400 is about 22333.7054695364. The cubic root of 498794400 is about 793.0620890063.

The spelling of 498794400 in words is "four hundred ninety-eight million, seven hundred ninety-four thousand, four hundred".