474277440 has 448 divisors, whose sum is σ = 1904878080. Its totient is φ = 97320960.

The previous prime is 474277439. The next prime is 474277451. The reversal of 474277440 is 44772474.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 5328916 + ... + 5329004.

It is an arithmetic number, because the mean of its divisors is an integer number (4251960).

Almost surely, 2^474277440 is an apocalyptic number.

474277440 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 474277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952439040).

474277440 is an abundant number, since it is smaller than the sum of its proper divisors (1430600640).

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

474277440 is a wasteful number, since it uses less digits than its factorization.

474277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 39.

The square root of 474277440 is about 21777.9117456197. The cubic root of 474277440 is about 779.8495436295.

The spelling of 474277440 in words is "four hundred seventy-four million, two hundred seventy-seven thousand, four hundred forty".