474354144 has 240 divisors, whose sum is σ = 1545578496. Its totient is φ = 141523200.

The previous prime is 474354137. The next prime is 474354151. The reversal of 474354144 is 441453474.

474354144 is a `hidden beast` number, since 4 + 74 + 3 + 541 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (474354137) and next prime (474354151).

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 = 474354099 and 474354108.

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, 3620959 + ... + 3621089.

Almost surely, 2^474354144 is an apocalyptic number.

474354144 is a gapful number since it is divisible by the number (44) 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 474354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772789248).

474354144 is an abundant number, since it is smaller than the sum of its proper divisors (1071224352).

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

474354144 is a wasteful number, since it uses less digits than its factorization.

474354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 474354144 is about 21779.6727248138. The cubic root of 474354144 is about 779.8915825642.

The spelling of 474354144 in words is "four hundred seventy-four million, three hundred fifty-four thousand, one hundred forty-four".