488754000 has 400 divisors, whose sum is σ = 2022299136. Its totient is φ = 111456000.

The previous prime is 488753999. The next prime is 488754001. The reversal of 488754000 is 457884.

It is an interprime number because it is at equal distance from previous prime (488753999) and next prime (488754001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488754001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133785 + ... + 1134215.

Almost surely, 2^488754000 is an apocalyptic number.

488754000 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 488754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011149568).

488754000 is an abundant number, since it is smaller than the sum of its proper divisors (1533545136).

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

488754000 is a wasteful number, since it uses less digits than its factorization.

488754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 488754000 is about 22107.7814355037. The cubic root of 488754000 is about 787.7047086866.

The spelling of 488754000 in words is "four hundred eighty-eight million, seven hundred fifty-four thousand".