488268000 has 480 divisors, whose sum is σ = 1969295328. Its totient is φ = 117504000.

The previous prime is 488267987. The next prime is 488268029. The reversal of 488268000 is 862884.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3563932 + ... + 3564068.

Almost surely, 2^488268000 is an apocalyptic number.

488268000 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 488268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984647664).

488268000 is an abundant number, since it is smaller than the sum of its proper divisors (1481027328).

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

488268000 is a wasteful number, since it uses less digits than its factorization.

488268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 158 counting only the distinct ones).

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

The square root of 488268000 is about 22096.7870967704. The cubic root of 488268000 is about 787.4435333662.

The spelling of 488268000 in words is "four hundred eighty-eight million, two hundred sixty-eight thousand".