496409760 has 576 divisors, whose sum is σ = 2187005184. Its totient is φ = 100362240.

The previous prime is 496409743. The next prime is 496409801. The reversal of 496409760 is 67904694.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13416462 + ... + 13416498.

It is an arithmetic number, because the mean of its divisors is an integer number (3796884).

Almost surely, 2^496409760 is an apocalyptic number.

496409760 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 496409760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093502592).

496409760 is an abundant number, since it is smaller than the sum of its proper divisors (1690595424).

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

496409760 is a wasteful number, since it uses less digits than its factorization.

496409760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 496409760 is about 22280.2549357048. The cubic root of 496409760 is about 791.7962438809.

The spelling of 496409760 in words is "four hundred ninety-six million, four hundred nine thousand, seven hundred sixty".