496411680 has 192 divisors, whose sum is σ = 1639830528. Its totient is φ = 126074880.

The previous prime is 496411637. The next prime is 496411739. The reversal of 496411680 is 86114694.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086012 + ... + 1086468.

It is an arithmetic number, because the mean of its divisors is an integer number (8540784).

Almost surely, 2^496411680 is an apocalyptic number.

496411680 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 496411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819915264).

496411680 is an abundant number, since it is smaller than the sum of its proper divisors (1143418848).

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

496411680 is a wasteful number, since it uses less digits than its factorization.

496411680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 496411680 is about 22280.2980231414. The cubic root of 496411680 is about 791.7972647088.

The spelling of 496411680 in words is "four hundred ninety-six million, four hundred eleven thousand, six hundred eighty".