496104000 has 224 divisors, whose sum is σ = 1872788736. Its totient is φ = 113356800.

The previous prime is 496103987. The next prime is 496104019. The reversal of 496104000 is 401694.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×496104000² = 492238357632000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 166524 + ... + 169476.

It is an arithmetic number, because the mean of its divisors is an integer number (8360664).

Almost surely, 2^496104000 is an apocalyptic number.

496104000 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 496104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936394368).

496104000 is an abundant number, since it is smaller than the sum of its proper divisors (1376684736).

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

496104000 is a wasteful number, since it uses less digits than its factorization.

496104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 496104000 is about 22273.3921978669. The cubic root of 496104000 is about 791.6336434363.

Adding to 496104000 its reverse (401694), we get a palindrome (496505694).

The spelling of 496104000 in words is "four hundred ninety-six million, one hundred four thousand".