473940400 has 120 divisors (see below), whose sum is σ = 1208307584. Its totient is φ = 178329600.

The previous prime is 473940391. The next prime is 473940409. The reversal of 473940400 is 4049374.

It is an interprime number because it is at equal distance from previous prime (473940391) and next prime (473940409).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (473940409) 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, 458284 + ... + 459316.

Almost surely, 2^473940400 is an apocalyptic number.

473940400 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 473940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604153792).

473940400 is an abundant number, since it is smaller than the sum of its proper divisors (734367184).

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

473940400 is a wasteful number, since it uses less digits than its factorization.

473940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 473940400 is about 21770.1722547159. The cubic root of 473940400 is about 779.6647693784.

Adding to 473940400 its reverse (4049374), we get a palindrome (477989774).

The spelling of 473940400 in words is "four hundred seventy-three million, nine hundred forty thousand, four hundred".