485913542400 has 1944 divisors, whose sum is σ = 2135034265728. Its totient is φ = 104620032000.

The previous prime is 485913542383. The next prime is 485913542419. The reversal of 485913542400 is 4245319584.

485913542400 is a `hidden beast` number, since 4 + 8 + 59 + 1 + 354 + 240 + 0 = 666.

It is a super-2 number, since 2×485913542400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2808748714 + ... + 2808748886.

Almost surely, 2^485913542400 is an apocalyptic number.

485913542400 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 485913542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067517132864).

485913542400 is an abundant number, since it is smaller than the sum of its proper divisors (1649120723328).

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

485913542400 is a wasteful number, since it uses less digits than its factorization.

485913542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 485913542400 in words is "four hundred eighty-five billion, nine hundred thirteen million, five hundred forty-two thousand, four hundred".