496133280 has 144 divisors (see below), whose sum is σ = 1708597800. Its totient is φ = 131088384.

The previous prime is 496133257. The next prime is 496133317. The reversal of 496133280 is 82331694.

496133280 is a `hidden beast` number, since 4 + 9 + 613 + 32 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138015504 + 358117776 = 11748^2 + 18924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×496133280² = 492296463047116800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161196 + ... + 164244.

Almost surely, 2^496133280 is an apocalyptic number.

496133280 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 496133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854298900).

496133280 is an abundant number, since it is smaller than the sum of its proper divisors (1212464520).

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

496133280 is a wasteful number, since it uses less digits than its factorization.

496133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 496133280 is about 22274.0494746689. The cubic root of 496133280 is about 791.6492171716.

The spelling of 496133280 in words is "four hundred ninety-six million, one hundred thirty-three thousand, two hundred eighty".