472208400 has 240 divisors, whose sum is σ = 1754709120. Its totient is φ = 120384000.

The previous prime is 472208369. The next prime is 472208419. The reversal of 472208400 is 4802274.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247450 + ... + 249350.

It is an arithmetic number, because the mean of its divisors is an integer number (7311288).

Almost surely, 2^472208400 is an apocalyptic number.

472208400 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 472208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877354560).

472208400 is an abundant number, since it is smaller than the sum of its proper divisors (1282500720).

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

472208400 is a wasteful number, since it uses less digits than its factorization.

472208400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 472208400 is about 21730.3566468662. The cubic root of 472208400 is about 778.7138567734.

The spelling of 472208400 in words is "four hundred seventy-two million, two hundred eight thousand, four hundred".