496434312 has 192 divisors, whose sum is σ = 1553774400. Its totient is φ = 145635840.

The previous prime is 496434293. The next prime is 496434313. The reversal of 496434312 is 213434694.

It is a happy number.

496434312 is a `hidden beast` number, since 4 + 9 + 643 + 4 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×496434312² = 492894052261826688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (496434313) 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, 4393168 + ... + 4393280.

It is an arithmetic number, because the mean of its divisors is an integer number (8092575).

Almost surely, 2^496434312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776887200).

496434312 is an abundant number, since it is smaller than the sum of its proper divisors (1057340088).

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

496434312 is a wasteful number, since it uses less digits than its factorization.

496434312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 172 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 496434312 is about 22280.8059100204. The cubic root of 496434312 is about 791.8092975195.

The spelling of 496434312 in words is "four hundred ninety-six million, four hundred thirty-four thousand, three hundred twelve".