472001400 has 288 divisors, whose sum is σ = 1783323360. Its totient is φ = 111006720.

The previous prime is 472001371. The next prime is 472001441. The reversal of 472001400 is 4100274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537762 + ... + 538638.

It is an arithmetic number, because the mean of its divisors is an integer number (6192095).

Almost surely, 2^472001400 is an apocalyptic number.

472001400 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 472001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891661680).

472001400 is an abundant number, since it is smaller than the sum of its proper divisors (1311321960).

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

472001400 is a wasteful number, since it uses less digits than its factorization.

472001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 472001400 is about 21725.5932024882. The cubic root of 472001400 is about 778.6000529754.

Adding to 472001400 its reverse (4100274), we get a palindrome (476101674).

The spelling of 472001400 in words is "four hundred seventy-two million, one thousand, four hundred".