485990400 has 336 divisors, whose sum is σ = 1852720704. Its totient is φ = 110100480.

The previous prime is 485990399. The next prime is 485990411. The reversal of 485990400 is 4099584.

It is a tau number, because it is divible by the number of its divisors (336).

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, 4300744 + ... + 4300856.

Almost surely, 2^485990400 is an apocalyptic number.

485990400 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 485990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926360352).

485990400 is an abundant number, since it is smaller than the sum of its proper divisors (1366730304).

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

485990400 is a wasteful number, since it uses less digits than its factorization.

485990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 485990400 is about 22045.1899515518. The cubic root of 485990400 is about 786.2172414555.

It can be divided in two parts, 4859 and 90400, that added together give a palindrome (95259).

The spelling of 485990400 in words is "four hundred eighty-five million, nine hundred ninety thousand, four hundred".