496671840 has 216 divisors, whose sum is σ = 1971889920. Its totient is φ = 113508864.

The previous prime is 496671823. The next prime is 496671859. The reversal of 496671840 is 48176694.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67041 + ... + 74079.

It is an arithmetic number, because the mean of its divisors is an integer number (9129120).

Almost surely, 2^496671840 is an apocalyptic number.

496671840 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 496671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985944960).

496671840 is an abundant number, since it is smaller than the sum of its proper divisors (1475218080).

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

496671840 is a wasteful number, since it uses less digits than its factorization.

496671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 7056 counting only the distinct ones).

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

The square root of 496671840 is about 22286.1356004131. The cubic root of 496671840 is about 791.9355625567.

It can be divided in two parts, 49 and 6671840, that added together give a square (6671889 = 2583²).

The spelling of 496671840 in words is "four hundred ninety-six million, six hundred seventy-one thousand, eight hundred forty".