488074118400 has 1620 divisors, whose sum is σ = 2055749173632. Its totient is φ = 114048000000.

The previous prime is 488074118387. The next prime is 488074118419. The reversal of 488074118400 is 4811470884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1944518275 + ... + 1944518525.

Almost surely, 2^488074118400 is an apocalyptic number.

488074118400 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 488074118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027874586816).

488074118400 is an abundant number, since it is smaller than the sum of its proper divisors (1567675055232).

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

488074118400 is a wasteful number, since it uses less digits than its factorization.

488074118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 488074118400 in words is "four hundred eighty-eight billion, seventy-four million, one hundred eighteen thousand, four hundred".