485909798400 has 1440 divisors, whose sum is σ = 1983917583648. Its totient is φ = 117050572800.

The previous prime is 485909798399. The next prime is 485909798441. The reversal of 485909798400 is 4897909584.

485909798400 is a `hidden beast` number, since 4 + 8 + 59 + 0 + 97 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×485909798400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2466547102 + ... + 2466547298.

Almost surely, 2^485909798400 is an apocalyptic number.

485909798400 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 485909798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991958791824).

485909798400 is an abundant number, since it is smaller than the sum of its proper divisors (1498007785248).

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

485909798400 is a wasteful number, since it uses less digits than its factorization.

485909798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 485909798400 in words is "four hundred eighty-five billion, nine hundred nine million, seven hundred ninety-eight thousand, four hundred".