473954832 has 240 divisors, whose sum is σ = 1546494768. Its totient is φ = 134184960.

The previous prime is 473954797. The next prime is 473954839. The reversal of 473954832 is 238459374.

473954832 is a `hidden beast` number, since 4 + 73 + 9 + 548 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11532816 + 462422016 = 3396^2 + 21504^2 .

It is a super-2 number, since 2×473954832² = 449266365552296448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (725760) is a multiple of the sum of its prime factors (378).

It is not an unprimeable number, because it can be changed into a prime (473954839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1686532 + ... + 1686812.

Almost surely, 2^473954832 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 473954832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773247384).

473954832 is an abundant number, since it is smaller than the sum of its proper divisors (1072539936).

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

473954832 is a wasteful number, since it uses less digits than its factorization.

473954832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 473954832 is about 21770.5037148891. The cubic root of 473954832 is about 779.6726831778.

The spelling of 473954832 in words is "four hundred seventy-three million, nine hundred fifty-four thousand, eight hundred thirty-two".