486314150400 has 1680 divisors, whose sum is σ = 2057554662240. Its totient is φ = 112870195200.

The previous prime is 486314150321. The next prime is 486314150407. The reversal of 486314150400 is 4051413684.

486314150400 is a `hidden beast` number, since 4 + 8 + 6 + 3 + 141 + 504 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486314150407) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2304806295 + ... + 2304806505.

It is an arithmetic number, because the mean of its divisors is an integer number (1224734918).

Almost surely, 2^486314150400 is an apocalyptic number.

486314150400 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 486314150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028777331120).

486314150400 is an abundant number, since it is smaller than the sum of its proper divisors (1571240511840).

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

486314150400 is a wasteful number, since it uses less digits than its factorization.

486314150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 486314150400 in words is "four hundred eighty-six billion, three hundred fourteen million, one hundred fifty thousand, four hundred".