484529040 has 200 divisors, whose sum is σ = 1756548288. Its totient is φ = 123552000.

The previous prime is 484529029. The next prime is 484529057. The reversal of 484529040 is 40925484.

484529040 is a `hidden beast` number, since 484 + 52 + 90 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 484528986 and 484529004.

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 39 ways as a sum of consecutive naturals, for example, 147415 + ... + 150665.

Almost surely, 2^484529040 is an apocalyptic number.

484529040 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 484529040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878274144).

484529040 is an abundant number, since it is smaller than the sum of its proper divisors (1272019248).

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

484529040 is a wasteful number, since it uses less digits than its factorization.

484529040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 484529040 is about 22012.0203525256. The cubic root of 484529040 is about 785.4284055905.

The spelling of 484529040 in words is "four hundred eighty-four million, five hundred twenty-nine thousand, forty".