473905152 has 144 divisors (see below), whose sum is σ = 1564683120. Its totient is φ = 135364608.

The previous prime is 473905151. The next prime is 473905259. The reversal of 473905152 is 251509374.

473905152 is a `hidden beast` number, since 473 + 90 + 51 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473905151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127188 + ... + 130860.

It is an arithmetic number, because the mean of its divisors is an integer number (10865855).

Almost surely, 2^473905152 is an apocalyptic number.

473905152 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 473905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782341560).

473905152 is an abundant number, since it is smaller than the sum of its proper divisors (1090777968).

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

473905152 is a wasteful number, since it uses less digits than its factorization.

473905152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 473905152 is about 21769.3626916362. The cubic root of 473905152 is about 779.6454404325.

The spelling of 473905152 in words is "four hundred seventy-three million, nine hundred five thousand, one hundred fifty-two".