496012800 has 120 divisors (see below), whose sum is σ = 1638674136. Its totient is φ = 132259840.

The previous prime is 496012763. The next prime is 496012801. The reversal of 496012800 is 8210694.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496012801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31942 + ... + 44858.

Almost surely, 2^496012800 is an apocalyptic number.

496012800 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 496012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819337068).

496012800 is an abundant number, since it is smaller than the sum of its proper divisors (1142661336).

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

496012800 is a wasteful number, since it uses less digits than its factorization.

496012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12948 (or 12927 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 496012800 is about 22271.3448179494. The cubic root of 496012800 is about 791.5851311534.

The spelling of 496012800 in words is "four hundred ninety-six million, twelve thousand, eight hundred".