486752000 has 288 divisors, whose sum is σ = 1446367104. Its totient is φ = 159744000.

The previous prime is 486751999. The next prime is 486752033. The reversal of 486752000 is 257684.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9183974 + ... + 9184026.

It is an arithmetic number, because the mean of its divisors is an integer number (5022108).

Almost surely, 2^486752000 is an apocalyptic number.

486752000 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 486752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723183552).

486752000 is an abundant number, since it is smaller than the sum of its proper divisors (959615104).

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

486752000 is an equidigital number, since it uses as much as digits as its factorization.

486752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 486752000 is about 22062.4567988246. The cubic root of 486752000 is about 786.6277231831.

The spelling of 486752000 in words is "four hundred eighty-six million, seven hundred fifty-two thousand".