474861312 has 288 divisors, whose sum is σ = 1530547200. Its totient is φ = 144764928.

The previous prime is 474861307. The next prime is 474861313. The reversal of 474861312 is 213168474.

474861312 is a `hidden beast` number, since 47 + 486 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×474861312² = 450986531268722688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474861313) 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 31 ways as a sum of consecutive naturals, for example, 4610253 + ... + 4610355.

It is an arithmetic number, because the mean of its divisors is an integer number (5314400).

Almost surely, 2^474861312 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 474861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765273600).

474861312 is an abundant number, since it is smaller than the sum of its proper divisors (1055685888).

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

474861312 is a wasteful number, since it uses less digits than its factorization.

474861312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 474861312 is about 21791.3127644940. The cubic root of 474861312 is about 780.1694306494.

The spelling of 474861312 in words is "four hundred seventy-four million, eight hundred sixty-one thousand, three hundred twelve".