473535972 has 108 divisors (see below), whose sum is σ = 1481450880. Its totient is φ = 124877376.

The previous prime is 473535961. The next prime is 473535977. The reversal of 473535972 is 279535374.

473535972 is a `hidden beast` number, since 4 + 7 + 3 + 53 + 597 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (473535977) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37029 + ... + 48147.

Almost surely, 2^473535972 is an apocalyptic number.

473535972 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 473535972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740725440).

473535972 is an abundant number, since it is smaller than the sum of its proper divisors (1007914908).

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

473535972 is a wasteful number, since it uses less digits than its factorization.

473535972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11162 (or 11144 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 473535972 is about 21760.8816916962. The cubic root of 473535972 is about 779.4429355809.

The spelling of 473535972 in words is "four hundred seventy-three million, five hundred thirty-five thousand, nine hundred seventy-two".