472666368 has 144 divisors (see below), whose sum is σ = 1366013376. Its totient is φ = 144506880.

The previous prime is 472666367. The next prime is 472666373. The reversal of 472666368 is 863666274.

It is a super-2 number, since 2×472666368² = 446826990876622848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (472666361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534855 + ... + 535737.

It is an arithmetic number, because the mean of its divisors is an integer number (9486204).

Almost surely, 2^472666368 is an apocalyptic number.

472666368 is a gapful number since it is divisible by the number (48) 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 472666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683006688).

472666368 is an abundant number, since it is smaller than the sum of its proper divisors (893347008).

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

472666368 is a wasteful number, since it uses less digits than its factorization.

472666368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 946 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 472666368 is about 21740.8916100513. The cubic root of 472666368 is about 778.9655188215.

The spelling of 472666368 in words is "four hundred seventy-two million, six hundred sixty-six thousand, three hundred sixty-eight".