488849400 has 216 divisors, whose sum is σ = 1778825880. Its totient is φ = 120257280.

The previous prime is 488849381. The next prime is 488849419. The reversal of 488849400 is 4948884.

488849400 is a `hidden beast` number, since 488 + 84 + 94 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (488849381) and next prime (488849419).

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 53 ways as a sum of consecutive naturals, for example, 303397 + ... + 305003.

It is an arithmetic number, because the mean of its divisors is an integer number (8235305).

Almost surely, 2^488849400 is an apocalyptic number.

488849400 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 488849400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889412940).

488849400 is an abundant number, since it is smaller than the sum of its proper divisors (1289976480).

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

488849400 is a wasteful number, since it uses less digits than its factorization.

488849400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 488849400 is about 22109.9389415711. The cubic root of 488849400 is about 787.7559561038.

The spelling of 488849400 in words is "four hundred eighty-eight million, eight hundred forty-nine thousand, four hundred".