496401444 has 144 divisors (see below), whose sum is σ = 1577511936. Its totient is φ = 127857600.

The previous prime is 496401443. The next prime is 496401461. The reversal of 496401444 is 444104694.

496401444 is a `hidden beast` number, since 4 + 9 + 640 + 1 + 4 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 496401399 and 496401408.

It is not an unprimeable number, because it can be changed into a prime (496401443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362449 + ... + 363815.

It is an arithmetic number, because the mean of its divisors is an integer number (10954944).

Almost surely, 2^496401444 is an apocalyptic number.

496401444 is a gapful number since it is divisible by the number (44) 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 496401444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788755968).

496401444 is an abundant number, since it is smaller than the sum of its proper divisors (1081110492).

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

496401444 is a wasteful number, since it uses less digits than its factorization.

496401444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 496401444 is about 22280.0683122831. The cubic root of 496401444 is about 791.7918223896.

The spelling of 496401444 in words is "four hundred ninety-six million, four hundred one thousand, four hundred forty-four".