474821760 has 320 divisors, whose sum is σ = 1782780480. Its totient is φ = 107476992.

The previous prime is 474821749. The next prime is 474821803. The reversal of 474821760 is 67128474.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4609869 + ... + 4609971.

It is an arithmetic number, because the mean of its divisors is an integer number (5571189).

Almost surely, 2^474821760 is an apocalyptic number.

474821760 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 474821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891390240).

474821760 is an abundant number, since it is smaller than the sum of its proper divisors (1307958720).

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

474821760 is an equidigital number, since it uses as much as digits as its factorization.

474821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 474821760 is about 21790.4052279897. The cubic root of 474821760 is about 780.1477695052.

The spelling of 474821760 in words is "four hundred seventy-four million, eight hundred twenty-one thousand, seven hundred sixty".