474782952 has 192 divisors, whose sum is σ = 1453636800. Its totient is φ = 128701440.

The previous prime is 474782941. The next prime is 474782989. The reversal of 474782952 is 259287474.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

Its product of digits (1128960) is a multiple of the sum of its prime factors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2073174 + ... + 2073402.

It is an arithmetic number, because the mean of its divisors is an integer number (7571025).

Almost surely, 2^474782952 is an apocalyptic number.

474782952 is a gapful number since it is divisible by the number (42) 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 474782952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726818400).

474782952 is an abundant number, since it is smaller than the sum of its proper divisors (978853848).

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

474782952 is a wasteful number, since it uses less digits than its factorization.

474782952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 474782952 is about 21789.5147261246. The cubic root of 474782952 is about 780.1265146527.

The spelling of 474782952 in words is "four hundred seventy-four million, seven hundred eighty-two thousand, nine hundred fifty-two".