488740262400 has 1920 divisors, whose sum is σ = 2097015782400. Its totient is φ = 111795240960.

The previous prime is 488740262393. The next prime is 488740262407. The reversal of 488740262400 is 4262047884.

488740262400 is a `hidden beast` number, since 488 + 74 + 0 + 2 + 62 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (488740262393) and next prime (488740262407).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (488740262407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6186585561 + ... + 6186585639.

It is an arithmetic number, because the mean of its divisors is an integer number (1092195720).

Almost surely, 2^488740262400 is an apocalyptic number.

488740262400 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 488740262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048507891200).

488740262400 is an abundant number, since it is smaller than the sum of its proper divisors (1608275520000).

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

488740262400 is an equidigital number, since it uses as much as digits as its factorization.

488740262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

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

The spelling of 488740262400 in words is "four hundred eighty-eight billion, seven hundred forty million, two hundred sixty-two thousand, four hundred".