496514400 has 144 divisors (see below), whose sum is σ = 1623271104. Its totient is φ = 131822080.

The previous prime is 496514399. The next prime is 496514401. The reversal of 496514400 is 4415694.

It is an interprime number because it is at equal distance from previous prime (496514399) and next prime (496514401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496514401) 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 23 ways as a sum of consecutive naturals, for example, 1062967 + ... + 1063433.

It is an arithmetic number, because the mean of its divisors is an integer number (11272716).

Almost surely, 2^496514400 is an apocalyptic number.

496514400 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 496514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811635552).

496514400 is an abundant number, since it is smaller than the sum of its proper divisors (1126756704).

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

496514400 is a wasteful number, since it uses less digits than its factorization.

496514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 496514400 is about 22282.6030795327. The cubic root of 496514400 is about 791.8518751655.

The spelling of 496514400 in words is "four hundred ninety-six million, five hundred fourteen thousand, four hundred".