474678144 has 112 divisors (see below), whose sum is σ = 1418101920. Its totient is φ = 158194944.

The previous prime is 474678109. The next prime is 474678173. The reversal of 474678144 is 441876474.

It is a happy number.

474678144 is a `hidden beast` number, since 47 + 467 + 8 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 474678144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 90769 + ... + 95855.

Almost surely, 2^474678144 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 474678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709050960).

474678144 is an abundant number, since it is smaller than the sum of its proper divisors (943423776).

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

474678144 is an frugal number, since it uses more digits than its factorization.

474678144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5092 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 474678144 is about 21787.1095834211. The cubic root of 474678144 is about 780.0691063032.

It can be divided in two parts, 47467 and 8144, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 474678144 in words is "four hundred seventy-four million, six hundred seventy-eight thousand, one hundred forty-four".