496184640 has 224 divisors, whose sum is σ = 1839919104. Its totient is φ = 110929920.

The previous prime is 496184629. The next prime is 496184651. The reversal of 496184640 is 46481694.

It is an interprime number because it is at equal distance from previous prime (496184629) and next prime (496184651).

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 496184592 and 496184601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315055 + ... + 316625.

Almost surely, 2^496184640 is an apocalyptic number.

496184640 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 496184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919959552).

496184640 is an abundant number, since it is smaller than the sum of its proper divisors (1343734464).

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

496184640 is a wasteful number, since it uses less digits than its factorization.

496184640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 496184640 is about 22275.2023559832. The cubic root of 496184640 is about 791.6765335551.

It can be divided in two parts, 496 and 184640, that added together give a triangular number (185136 = T₆₀₈).

The spelling of 496184640 in words is "four hundred ninety-six million, one hundred eighty-four thousand, six hundred forty".