486042480 has 360 divisors, whose sum is σ = 2053056096. Its totient is φ = 100869120.

The previous prime is 486042451. The next prime is 486042481. The reversal of 486042480 is 84240684.

486042480 is a `hidden beast` number, since 4 + 8 + 604 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486042481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609442 + ... + 610238.

Almost surely, 2^486042480 is an apocalyptic number.

486042480 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 486042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026528048).

486042480 is an abundant number, since it is smaller than the sum of its proper divisors (1567013616).

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

486042480 is a wasteful number, since it uses less digits than its factorization.

486042480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 486042480 is about 22046.3711299615. The cubic root of 486042480 is about 786.2453248164.

The spelling of 486042480 in words is "four hundred eighty-six million, forty-two thousand, four hundred eighty".