491478624 has 576 divisors, whose sum is σ = 1930521600. Its totient is φ = 120185856.

The previous prime is 491478623. The next prime is 491478661. The reversal of 491478624 is 426874194.

491478624 is a `hidden beast` number, since 4 + 9 + 14 + 7 + 8 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (387072) is a multiple of the sum of its prime factors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 491478624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491478623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10456969 + ... + 10457015.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2^491478624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491478624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965260800).

491478624 is an abundant number, since it is smaller than the sum of its proper divisors (1439042976).

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

491478624 is a wasteful number, since it uses less digits than its factorization.

491478624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 491478624 is about 22169.3171748703. The cubic root of 491478624 is about 789.1657186351.

It can be divided in two parts, 4914 and 78624, that multiplied together give a square (386358336 = 19656²).

The spelling of 491478624 in words is "four hundred ninety-one million, four hundred seventy-eight thousand, six hundred twenty-four".