472905762 has 80 divisors (see below), whose sum is σ = 1168890912. Its totient is φ = 127102080.

The previous prime is 472905761. The next prime is 472905773. The reversal of 472905762 is 267509274.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (472905761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243937 + ... + 245867.

Almost surely, 2^472905762 is an apocalyptic number.

472905762 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 472905762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584445456).

472905762 is an abundant number, since it is smaller than the sum of its proper divisors (695985150).

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

472905762 is a wasteful number, since it uses less digits than its factorization.

472905762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 472905762 is about 21746.3965290804. The cubic root of 472905762 is about 779.0970056449.

The spelling of 472905762 in words is "four hundred seventy-two million, nine hundred five thousand, seven hundred sixty-two".