472326400 has 216 divisors, whose sum is σ = 1440643904. Its totient is φ = 149299200.

The previous prime is 472326397. The next prime is 472326433. The reversal of 472326400 is 4623274.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581995 + ... + 582805.

Almost surely, 2^472326400 is an apocalyptic number.

472326400 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 472326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720321952).

472326400 is an abundant number, since it is smaller than the sum of its proper divisors (968317504).

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

472326400 is a wasteful number, since it uses less digits than its factorization.

472326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 472326400 is about 21733.0715730658. The cubic root of 472326400 is about 778.7787155534.

Adding to 472326400 its reverse (4623274), we get a palindrome (476949674).

The spelling of 472326400 in words is "four hundred seventy-two million, three hundred twenty-six thousand, four hundred".