486874080 has 288 divisors, whose sum is σ = 2071899648. Its totient is φ = 101145600.

The previous prime is 486874061. The next prime is 486874103. The reversal of 486874080 is 80478684.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108685 + ... + 113075.

It is an arithmetic number, because the mean of its divisors is an integer number (7194096).

Almost surely, 2^486874080 is an apocalyptic number.

486874080 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 486874080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035949824).

486874080 is an abundant number, since it is smaller than the sum of its proper divisors (1585025568).

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

486874080 is a wasteful number, since it uses less digits than its factorization.

486874080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 486874080 is about 22065.2233163410. The cubic root of 486874080 is about 786.6934811633.

The spelling of 486874080 in words is "four hundred eighty-six million, eight hundred seventy-four thousand, eighty".