1682444400 has 720 divisors, whose sum is σ = 7067547648. Its totient is φ = 338688000.

The previous prime is 1682444381. The next prime is 1682444461. The reversal of 1682444400 is 44442861.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23696365 + ... + 23696435.

Almost surely, 2^1682444400 is an apocalyptic number.

1682444400 is a gapful number since it is divisible by the number (10) 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 1682444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533773824).

1682444400 is an abundant number, since it is smaller than the sum of its proper divisors (5385103248).

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

1682444400 is a wasteful number, since it uses less digits than its factorization.

1682444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 1682444400 is about 41017.6108519255. The cubic root of 1682444400 is about 1189.3606715761.

The spelling of 1682444400 in words is "one billion, six hundred eighty-two million, four hundred forty-four thousand, four hundred".