39401000 has 96 divisors (see below), whose sum is σ = 97592040. Its totient is φ = 14880000.

The previous prime is 39400997. The next prime is 39401017. The reversal of 39401000 is 10493.

It can be written as a sum of positive squares in 4 ways, for example, as 3232804 + 36168196 = 1798^2 + 6014^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 39401000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 960980 + ... + 961020.

Almost surely, 2^39401000 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 39401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48796020).

39401000 is an abundant number, since it is smaller than the sum of its proper divisors (58191040).

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

39401000 is a wasteful number, since it uses less digits than its factorization.

39401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 39401000 is about 6277.0215867081. The cubic root of 39401000 is about 340.2794703357.

Adding to 39401000 its reverse (10493), we get a palindrome (39411493).

The spelling of 39401000 in words is "thirty-nine million, four hundred one thousand".