496274688 has 360 divisors, whose sum is σ = 1828219008. Its totient is φ = 130387968.

The previous prime is 496274687. The next prime is 496274689. The reversal of 496274688 is 886472694.

496274688 is a `hidden beast` number, since 4 + 9 + 627 + 4 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (496274687) and next prime (496274689).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (4644864) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496274683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1886845 + ... + 1887107.

Almost surely, 2^496274688 is an apocalyptic number.

496274688 is a gapful number since it is divisible by the number (48) 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 496274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914109504).

496274688 is an abundant number, since it is smaller than the sum of its proper divisors (1331944320).

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

496274688 is a wasteful number, since it uses less digits than its factorization.

496274688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 288 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 496274688 is about 22277.2235253857. The cubic root of 496274688 is about 791.7244220296.

The spelling of 496274688 in words is "four hundred ninety-six million, two hundred seventy-four thousand, six hundred eighty-eight".