472948608 has 256 divisors, whose sum is σ = 1480550400. Its totient is φ = 132249600.

The previous prime is 472948603. The next prime is 472948613. The reversal of 472948608 is 806849274.

It is an interprime number because it is at equal distance from previous prime (472948603) and next prime (472948613).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472948603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5698135 + ... + 5698217.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^472948608 is an apocalyptic number.

472948608 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 472948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

472948608 is an abundant number, since it is smaller than the sum of its proper divisors (1007601792).

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

472948608 is a wasteful number, since it uses less digits than its factorization.

472948608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 472948608 is about 21747.3816354981. The cubic root of 472948608 is about 779.1205340692.

The spelling of 472948608 in words is "four hundred seventy-two million, nine hundred forty-eight thousand, six hundred eight".