486177480 has 192 divisors, whose sum is σ = 1634592960. Its totient is φ = 125259264.

The previous prime is 486177451. The next prime is 486177487. The reversal of 486177480 is 84771684.

486177480 is a `hidden beast` number, since 48 + 61 + 77 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (486177487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583487 + ... + 1583793.

It is an arithmetic number, because the mean of its divisors is an integer number (8513505).

Almost surely, 2^486177480 is an apocalyptic number.

486177480 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 486177480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817296480).

486177480 is an abundant number, since it is smaller than the sum of its proper divisors (1148415480).

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

486177480 is a wasteful number, since it uses less digits than its factorization.

486177480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 486177480 is about 22049.4326457621. The cubic root of 486177480 is about 786.3181122081.

The spelling of 486177480 in words is "four hundred eighty-six million, one hundred seventy-seven thousand, four hundred eighty".