496238400 has 420 divisors, whose sum is σ = 2088436768. Its totient is φ = 113218560.

The previous prime is 496238387. The next prime is 496238419. The reversal of 496238400 is 4832694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 906927 + ... + 907473.

Almost surely, 2^496238400 is an apocalyptic number.

496238400 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 496238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044218384).

496238400 is an abundant number, since it is smaller than the sum of its proper divisors (1592198368).

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

496238400 is a wasteful number, since it uses less digits than its factorization.

496238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 496238400 is about 22276.4090463432. The cubic root of 496238400 is about 791.7051243860.

The spelling of 496238400 in words is "four hundred ninety-six million, two hundred thirty-eight thousand, four hundred".