486047822400 has 1008 divisors, whose sum is σ = 2058114938880. Its totient is φ = 110518732800.

The previous prime is 486047822389. The next prime is 486047822411. The reversal of 486047822400 is 4228740684.

It is an interprime number because it is at equal distance from previous prime (486047822389) and next prime (486047822411).

It is a tau number, because it is divible by the number of its divisors (1008).

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

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, 737553271 + ... + 737553929.

Almost surely, 2^486047822400 is an apocalyptic number.

486047822400 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 486047822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029057469440).

486047822400 is an abundant number, since it is smaller than the sum of its proper divisors (1572067116480).

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

486047822400 is a wasteful number, since it uses less digits than its factorization.

486047822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 486047822400 in words is "four hundred eighty-six billion, forty-seven million, eight hundred twenty-two thousand, four hundred".