472525401600 has 960 divisors, whose sum is σ = 2036126822400. Its totient is φ = 105066823680.

The previous prime is 472525401589. The next prime is 472525401631. The reversal of 472525401600 is 6104525274.

It is a happy number.

472525401600 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 2 + 5 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89507761 + ... + 89513039.

It is an arithmetic number, because the mean of its divisors is an integer number (2120965440).

Almost surely, 2^472525401600 is an apocalyptic number.

472525401600 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 472525401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018063411200).

472525401600 is an abundant number, since it is smaller than the sum of its proper divisors (1563601420800).

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

472525401600 is a wasteful number, since it uses less digits than its factorization.

472525401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 472525401600 its reverse (6104525274), we get a palindrome (478629926874).

The spelling of 472525401600 in words is "four hundred seventy-two billion, five hundred twenty-five million, four hundred one thousand, six hundred".