482365779840 has 384 divisors, whose sum is σ = 1907189406720. Its totient is φ = 110048440320.

The previous prime is 482365779821. The next prime is 482365779859. The reversal of 482365779840 is 48977563284.

482365779840 is a `hidden beast` number, since 4 + 82 + 365 + 77 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (482365779821) and next prime (482365779859).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22044105 + ... + 22065975.

It is an arithmetic number, because the mean of its divisors is an integer number (4966639080).

Almost surely, 2^482365779840 is an apocalyptic number.

482365779840 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 482365779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953594703360).

482365779840 is an abundant number, since it is smaller than the sum of its proper divisors (1424823626880).

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

482365779840 is a wasteful number, since it uses less digits than its factorization.

482365779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22450 (or 22435 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 482365779840 in words is "four hundred eighty-two billion, three hundred sixty-five million, seven hundred seventy-nine thousand, eight hundred forty".