840038400 has 216 divisors, whose sum is σ = 3010119840. Its totient is φ = 223887360.

The previous prime is 840038399. The next prime is 840038449. The reversal of 840038400 is 4830048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 459889 + ... + 461711.

It is an arithmetic number, because the mean of its divisors is an integer number (13935740).

Almost surely, 2^840038400 is an apocalyptic number.

840038400 is a gapful number since it is divisible by the number (80) 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 840038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505059920).

840038400 is an abundant number, since it is smaller than the sum of its proper divisors (2170081440).

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

840038400 is a wasteful number, since it uses less digits than its factorization.

840038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 840038400 is about 28983.4159477450. The cubic root of 840038400 is about 943.5531735783.

Adding to 840038400 its reverse (4830048), we get a palindrome (844868448).

The spelling of 840038400 in words is "eight hundred forty million, thirty-eight thousand, four hundred".