468480400 has 30 divisors (see below), whose sum is σ = 1125525122. Its totient is φ = 187392000.

The previous prime is 468480377. The next prime is 468480433. The reversal of 468480400 is 4084864.

It can be written as a sum of positive squares in 3 ways, for example, as 1401856 + 467078544 = 1184^2 + 21612^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 585201 + ... + 586000.

Almost surely, 2^468480400 is an apocalyptic number.

468480400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468480400 is an abundant number, since it is smaller than the sum of its proper divisors (657044722).

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

468480400 is a wasteful number, since it uses less digits than its factorization.

468480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171219 (or 1171208 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 468480400 is about 21644.4080538138. The cubic root of 468480400 is about 776.6591717263.

The spelling of 468480400 in words is "four hundred sixty-eight million, four hundred eighty thousand, four hundred".