473702400 has 252 divisors, whose sum is σ = 1703406042. Its totient is φ = 125829120.

The previous prime is 473702389. The next prime is 473702417. The reversal of 473702400 is 4207374.

It can be written as a sum of positive squares in 3 ways, for example, as 454201344 + 19501056 = 21312^2 + 4416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1843072 + ... + 1843328.

Almost surely, 2^473702400 is an apocalyptic number.

473702400 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 473702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851703021).

473702400 is an abundant number, since it is smaller than the sum of its proper divisors (1229703642).

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

473702400 is a wasteful number, since it uses less digits than its factorization.

473702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 473702400 is about 21764.7053736089. The cubic root of 473702400 is about 779.5342387007.

Adding to 473702400 its reverse (4207374), we get a palindrome (477909774).

It can be divided in two parts, 47370 and 2400, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 473702400 in words is "four hundred seventy-three million, seven hundred two thousand, four hundred".