832401900 has 144 divisors (see below), whose sum is σ = 2919396480. Its totient is φ = 201787200.

The previous prime is 832401883. The next prime is 832401931. The reversal of 832401900 is 9104238.

It is a super-2 number, since 2×832401900² = 1385785846247220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15687 + ... + 43713.

Almost surely, 2^832401900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832401900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459698240).

832401900 is an abundant number, since it is smaller than the sum of its proper divisors (2086994580).

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

832401900 is a wasteful number, since it uses less digits than its factorization.

832401900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28061 (or 28048 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 832401900 is about 28851.3760503724. The cubic root of 832401900 is about 940.6852932437.

The spelling of 832401900 in words is "eight hundred thirty-two million, four hundred one thousand, nine hundred".