472071600 has 720 divisors, whose sum is σ = 2216358144. Its totient is φ = 89856000.

The previous prime is 472071577. The next prime is 472071601. The reversal of 472071600 is 6170274.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (472071601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3603535 + ... + 3603665.

Almost surely, 2^472071600 is an apocalyptic number.

472071600 is a gapful number since it is divisible by the number (40) 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 472071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108179072).

472071600 is an abundant number, since it is smaller than the sum of its proper divisors (1744286544).

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

472071600 is a wasteful number, since it uses less digits than its factorization.

472071600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 472071600 is about 21727.2087484794. The cubic root of 472071600 is about 778.6386510348.

The spelling of 472071600 in words is "four hundred seventy-two million, seventy-one thousand, six hundred".