475334400 has 216 divisors, whose sum is σ = 1652533120. Its totient is φ = 119992320.

The previous prime is 475334393. The next prime is 475334401. The reversal of 475334400 is 4433574.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475334401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364149 + ... + 365451.

Almost surely, 2^475334400 is an apocalyptic number.

475334400 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 475334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826266560).

475334400 is an abundant number, since it is smaller than the sum of its proper divisors (1177198720).

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

475334400 is a wasteful number, since it uses less digits than its factorization.

475334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 475334400 is about 21802.1650301065. The cubic root of 475334400 is about 780.4284299853.

Adding to 475334400 its reverse (4433574), we get a palindrome (479767974).

The spelling of 475334400 in words is "four hundred seventy-five million, three hundred thirty-four thousand, four hundred".