488902272800 has 162 divisors, whose sum is σ = 1217009452113. Its totient is φ = 191787495680.

The previous prime is 488902272797. The next prime is 488902272823. The reversal of 488902272800 is 8272209884.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 479124227344 + 9778045456 = 692188^2 + 98884^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=494420.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1166830991 + ... + 1166831409.

Almost surely, 2^488902272800 is an apocalyptic number.

488902272800 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 488902272800

488902272800 is an abundant number, since it is smaller than the sum of its proper divisors (728107179313).

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

488902272800 is an frugal number, since it uses more digits than its factorization.

488902272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

Multiplying 488902272800 by its sum of digits (50), we get a square (24445113640000 = 4944200²).

488902272800 divided by its sum of digits (50) gives a square (9778045456 = 98884²).

The spelling of 488902272800 in words is "four hundred eighty-eight billion, nine hundred two million, two hundred seventy-two thousand, eight hundred".