472004755200 has 1512 divisors, whose sum is σ = 2027009544336. Its totient is φ = 107495424000.

The previous prime is 472004755193. The next prime is 472004755207. The reversal of 472004755200 is 2557400274.

It is a happy number.

472004755200 is a `hidden beast` number, since 47 + 20 + 0 + 4 + 75 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (472004755193) and next prime (472004755207).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472004755207) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 872466930 + ... + 872467470.

It is an arithmetic number, because the mean of its divisors is an integer number (1340614778).

Almost surely, 2^472004755200 is an apocalyptic number.

472004755200 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 472004755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013504772168).

472004755200 is an abundant number, since it is smaller than the sum of its proper divisors (1555004789136).

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

472004755200 is a wasteful number, since it uses less digits than its factorization.

472004755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 472004755200 in words is "four hundred seventy-two billion, four million, seven hundred fifty-five thousand, two hundred".