482509440 has 256 divisors, whose sum is σ = 1953504000. Its totient is φ = 110260224.

The previous prime is 482509439. The next prime is 482509459. The reversal of 482509440 is 44905284.

482509440 is a `hidden beast` number, since 482 + 50 + 94 + 40 = 666.

It is a super-2 number, since 2×482509440² = 465630719378227200, which contains 22 as substring.

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 = 482509395 and 482509404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118966 + ... + 122954.

It is an arithmetic number, because the mean of its divisors is an integer number (7630875).

Almost surely, 2^482509440 is an apocalyptic number.

482509440 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 482509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752000).

482509440 is an abundant number, since it is smaller than the sum of its proper divisors (1470994560).

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

482509440 is a wasteful number, since it uses less digits than its factorization.

482509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4006 counting only the distinct ones).

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

The square root of 482509440 is about 21966.0975141239. The cubic root of 482509440 is about 784.3356191823.

The spelling of 482509440 in words is "four hundred eighty-two million, five hundred nine thousand, four hundred forty".