486252480 has 168 divisors, whose sum is σ = 1796082768. Its totient is φ = 111132672.

The previous prime is 486252469. The next prime is 486252491. The reversal of 486252480 is 84252684.

It is an interprime number because it is at equal distance from previous prime (486252469) and next prime (486252491).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41872 + ... + 52208.

Almost surely, 2^486252480 is an apocalyptic number.

486252480 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 486252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898041384).

486252480 is an abundant number, since it is smaller than the sum of its proper divisors (1309830288).

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

486252480 is a wasteful number, since it uses less digits than its factorization.

486252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10371 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 486252480 is about 22051.1333042091. The cubic root of 486252480 is about 786.3585438259.

The spelling of 486252480 in words is "four hundred eighty-six million, two hundred fifty-two thousand, four hundred eighty".