482734909440 has 1920 divisors, whose sum is σ = 2123414092800. Its totient is φ = 102558597120.

The previous prime is 482734909439. The next prime is 482734909451. The reversal of 482734909440 is 44909437284.

482734909440 is a `hidden beast` number, since 4 + 8 + 27 + 3 + 490 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×482734909440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7913687010 + ... + 7913687070.

It is an arithmetic number, because the mean of its divisors is an integer number (1105944840).

Almost surely, 2^482734909440 is an apocalyptic number.

482734909440 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 482734909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061707046400).

482734909440 is an abundant number, since it is smaller than the sum of its proper divisors (1640679183360).

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

482734909440 is a wasteful number, since it uses less digits than its factorization.

482734909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 482734909440 in words is "four hundred eighty-two billion, seven hundred thirty-four million, nine hundred nine thousand, four hundred forty".