1882414464 has 64 divisors (see below), whose sum is σ = 5714480640. Its totient is φ = 537831936.

The previous prime is 1882414463. The next prime is 1882414517. The reversal of 1882414464 is 4644142881.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1882414463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 347464 + ... + 352839.

It is an arithmetic number, because the mean of its divisors is an integer number (89288760).

Almost surely, 2^1882414464 is an apocalyptic number.

1882414464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1882414464 is an abundant number, since it is smaller than the sum of its proper divisors (3832066176).

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

1882414464 is an equidigital number, since it uses as much as digits as its factorization.

1882414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700327 (or 700315 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 1882414464 is about 43386.8005734463. The cubic root of 1882414464 is about 1234.7292896681.

The spelling of 1882414464 in words is "one billion, eight hundred eighty-two million, four hundred fourteen thousand, four hundred sixty-four".