488381400 has 288 divisors, whose sum is σ = 1834101360. Its totient is φ = 120061440.

The previous prime is 488381393. The next prime is 488381407. The reversal of 488381400 is 4183884.

488381400 is a `hidden beast` number, since 488 + 38 + 140 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (488381393) and next prime (488381407).

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 (488381407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631414 + ... + 632186.

Almost surely, 2^488381400 is an apocalyptic number.

488381400 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 488381400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917050680).

488381400 is an abundant number, since it is smaller than the sum of its proper divisors (1345719960).

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

488381400 is a wasteful number, since it uses less digits than its factorization.

488381400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 488381400 is about 22099.3529317037. The cubic root of 488381400 is about 787.5044897703.

The spelling of 488381400 in words is "four hundred eighty-eight million, three hundred eighty-one thousand, four hundred".