488275007487400 has 192 divisors, whose sum is σ = 1365785854646400. Its totient is φ = 158587803279360.

The previous prime is 488275007487383. The next prime is 488275007487401. The reversal of 488275007487400 is 4784700572884.

It is a super-2 number, since 2×488275007487400² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (488275007487401) 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, 436559284 + ... + 437676316.

It is an arithmetic number, because the mean of its divisors is an integer number (7113467992950).

Almost surely, 2^{488275007487400} is an apocalyptic number.

488275007487400 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 488275007487400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682892927323200).

488275007487400 is an abundant number, since it is smaller than the sum of its proper divisors (877510847159000).

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

488275007487400 is a wasteful number, since it uses less digits than its factorization.

488275007487400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133508 (or 1133499 counting only the distinct ones).

The product of its (nonzero) digits is 112394240, while the sum is 64.

The spelling of 488275007487400 in words is "four hundred eighty-eight trillion, two hundred seventy-five billion, seven million, four hundred eighty-seven thousand, four hundred".