496368230400 has 2016 divisors, whose sum is σ = 2251348190208. Its totient is φ = 101921587200.

The previous prime is 496368230389. The next prime is 496368230419. The reversal of 496368230400 is 4032863694.

496368230400 is a `hidden beast` number, since 4 + 9 + 6 + 3 + 6 + 8 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6799564764 + ... + 6799564836.

Almost surely, 2^496368230400 is an apocalyptic number.

496368230400 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 496368230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125674095104).

496368230400 is an abundant number, since it is smaller than the sum of its proper divisors (1754979959808).

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

496368230400 is a wasteful number, since it uses less digits than its factorization.

496368230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 496368230400 in words is "four hundred ninety-six billion, three hundred sixty-eight million, two hundred thirty thousand, four hundred".