488513376 has 384 divisors, whose sum is σ = 1679892480. Its totient is φ = 136857600.

The previous prime is 488513369. The next prime is 488513393. The reversal of 488513376 is 673315884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8008386 + ... + 8008446.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^488513376 is an apocalyptic number.

488513376 is a gapful number since it is divisible by the number (46) 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 488513376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839946240).

488513376 is an abundant number, since it is smaller than the sum of its proper divisors (1191379104).

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

488513376 is a wasteful number, since it uses less digits than its factorization.

488513376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 488513376 is about 22102.3386997847. The cubic root of 488513376 is about 787.5754195341.

The spelling of 488513376 in words is "four hundred eighty-eight million, five hundred thirteen thousand, three hundred seventy-six".