496718640 has 240 divisors, whose sum is σ = 1852381440. Its totient is φ = 118264320.

The previous prime is 496718617. The next prime is 496718647. The reversal of 496718640 is 46817694.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (496718647) 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, 466749 + ... + 467811.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2^496718640 is an apocalyptic number.

496718640 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 496718640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926190720).

496718640 is an abundant number, since it is smaller than the sum of its proper divisors (1355662800).

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

496718640 is a wasteful number, since it uses less digits than its factorization.

496718640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 496718640 is about 22287.1855558301. The cubic root of 496718640 is about 791.9604357340.

It can be divided in two parts, 49671 and 8640, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 496718640 in words is "four hundred ninety-six million, seven hundred eighteen thousand, six hundred forty".