486083400 has 192 divisors, whose sum is σ = 1679892480. Its totient is φ = 115257600.

The previous prime is 486083387. The next prime is 486083401. The reversal of 486083400 is 4380684.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (486083401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309417 + ... + 310983.

It is an arithmetic number, because the mean of its divisors is an integer number (8749440).

Almost surely, 2^486083400 is an apocalyptic number.

486083400 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 486083400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839946240).

486083400 is an abundant number, since it is smaller than the sum of its proper divisors (1193809080).

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

486083400 is a wasteful number, since it uses less digits than its factorization.

486083400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 486083400 is about 22047.2991543182. The cubic root of 486083400 is about 786.2673889069.

The spelling of 486083400 in words is "four hundred eighty-six million, eighty-three thousand, four hundred".