498167040 has 288 divisors, whose sum is σ = 1864912896. Its totient is φ = 110960640.

The previous prime is 498167039. The next prime is 498167041. The reversal of 498167040 is 40761894.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (498167039) and next prime (498167041).

It is a self number, because there is not a number n which added to its sum of digits gives 498167040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498167041) 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 31 ways as a sum of consecutive naturals, for example, 1155625 + ... + 1156055.

It is an arithmetic number, because the mean of its divisors is an integer number (6475392).

Almost surely, 2^498167040 is an apocalyptic number.

498167040 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 498167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932456448).

498167040 is an abundant number, since it is smaller than the sum of its proper divisors (1366745856).

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

498167040 is a wasteful number, since it uses less digits than its factorization.

498167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 498167040 is about 22319.6559113262. The cubic root of 498167040 is about 792.7294575185.

The spelling of 498167040 in words is "four hundred ninety-eight million, one hundred sixty-seven thousand, forty".