498972096 has 336 divisors, whose sum is σ = 1751258880. Its totient is φ = 138862080.

The previous prime is 498972079. The next prime is 498972107. The reversal of 498972096 is 690279894.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6011671 + ... + 6011753.

It is an arithmetic number, because the mean of its divisors is an integer number (5212080).

Almost surely, 2^498972096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875629440).

498972096 is an abundant number, since it is smaller than the sum of its proper divisors (1252286784).

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

498972096 is a wasteful number, since it uses less digits than its factorization.

498972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 498972096 is about 22337.6833176585. The cubic root of 498972096 is about 793.1562542105.

The spelling of 498972096 in words is "four hundred ninety-eight million, nine hundred seventy-two thousand, ninety-six".