496356480 has 384 divisors, whose sum is σ = 1877456880. Its totient is φ = 120324096.

The previous prime is 496356473. The next prime is 496356493. The reversal of 496356480 is 84653694.

496356480 is a `hidden beast` number, since 4 + 9 + 6 + 3 + 564 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 407393856 + 88962624 = 20184^2 + 9432^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 3622972 + ... + 3623108.

Almost surely, 2^496356480 is an apocalyptic number.

496356480 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 496356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938728440).

496356480 is an abundant number, since it is smaller than the sum of its proper divisors (1381100400).

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

496356480 is a wasteful number, since it uses less digits than its factorization.

496356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 496356480 is about 22279.0592260984. The cubic root of 496356480 is about 791.7679148560.

The spelling of 496356480 in words is "four hundred ninety-six million, three hundred fifty-six thousand, four hundred eighty".