472142400 has 336 divisors, whose sum is σ = 1693224960. Its totient is φ = 114739200.

The previous prime is 472142399. The next prime is 472142423. The reversal of 472142400 is 4241274.

472142400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2827117 + ... + 2827283.

It is an arithmetic number, because the mean of its divisors is an integer number (5039360).

Almost surely, 2^472142400 is an apocalyptic number.

472142400 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 472142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846612480).

472142400 is an abundant number, since it is smaller than the sum of its proper divisors (1221082560).

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

472142400 is a wasteful number, since it uses less digits than its factorization.

472142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 472142400 is about 21728.8379808953. The cubic root of 472142400 is about 778.6775751167.

Adding to 472142400 its reverse (4241274), we get a palindrome (476383674).

The spelling of 472142400 in words is "four hundred seventy-two million, one hundred forty-two thousand, four hundred".