498125600 has 72 divisors (see below), whose sum is σ = 1389786048. Its totient is φ = 170784000.

The previous prime is 498125569. The next prime is 498125611. The reversal of 498125600 is 6521894.

498125600 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×498125600² = 496258226750720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 38876 + ... + 50075.

It is an arithmetic number, because the mean of its divisors is an integer number (19302584).

Almost surely, 2^498125600 is an apocalyptic number.

498125600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

498125600 is an abundant number, since it is smaller than the sum of its proper divisors (891660448).

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

498125600 is a wasteful number, since it uses less digits than its factorization.

498125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88978 (or 88965 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 498125600 is about 22318.7275622962. The cubic root of 498125600 is about 792.7074758557.

The spelling of 498125600 in words is "four hundred ninety-eight million, one hundred twenty-five thousand, six hundred".