474445440 has 432 divisors, whose sum is σ = 1953416790. Its totient is φ = 105799680.

The previous prime is 474445429. The next prime is 474445441. The reversal of 474445440 is 44544474.

474445440 is a `hidden beast` number, since 4 + 74 + 44 + 544 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 126697536 + 347747904 = 11256^2 + 18648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 474445395 and 474445404.

It is not an unprimeable number, because it can be changed into a prime (474445441) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 11571820 + ... + 11571860.

Almost surely, 2^474445440 is an apocalyptic number.

474445440 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 474445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976708395).

474445440 is an abundant number, since it is smaller than the sum of its proper divisors (1478971350).

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

474445440 is a wasteful number, since it uses less digits than its factorization.

474445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

The square root of 474445440 is about 21781.7685232398. The cubic root of 474445440 is about 779.9416129865.

The spelling of 474445440 in words is "four hundred seventy-four million, four hundred forty-five thousand, four hundred forty".