485456400 has 720 divisors, whose sum is σ = 2115614592. Its totient is φ = 101376000.

The previous prime is 485456381. The next prime is 485456401. The reversal of 485456400 is 4654584.

485456400 is a `hidden beast` number, since 4 + 8 + 5 + 4 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (485456401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11840380 + ... + 11840420.

Almost surely, 2^485456400 is an apocalyptic number.

485456400 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 485456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057807296).

485456400 is an abundant number, since it is smaller than the sum of its proper divisors (1630158192).

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

485456400 is a wasteful number, since it uses less digits than its factorization.

485456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 485456400 is about 22033.0751371659. The cubic root of 485456400 is about 785.9291741243.

It can be divided in two parts, 48545 and 6400, that added together give a palindrome (54945).

The spelling of 485456400 in words is "four hundred eighty-five million, four hundred fifty-six thousand, four hundred".