498633408 has 420 divisors, whose sum is σ = 1863955632. Its totient is φ = 130636800.

The previous prime is 498633407. The next prime is 498633427. The reversal of 498633408 is 804336894.

498633408 is a `hidden beast` number, since 4 + 9 + 8 + 633 + 4 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (498633407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3302133 + ... + 3302283.

Almost surely, 2^498633408 is an apocalyptic number.

498633408 is a gapful number since it is divisible by the number (48) 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 498633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931977816).

498633408 is an abundant number, since it is smaller than the sum of its proper divisors (1365322224).

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

498633408 is a wasteful number, since it uses less digits than its factorization.

498633408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 498633408 is about 22330.1009402107. The cubic root of 498633408 is about 792.9767563250.

The spelling of 498633408 in words is "four hundred ninety-eight million, six hundred thirty-three thousand, four hundred eight".