39400564 has 48 divisors (see below), whose sum is σ = 82914048. Its totient is φ = 16017408.

The previous prime is 39400561. The next prime is 39400573. The reversal of 39400564 is 46500493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39400561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124134 + ... + 124450.

It is an arithmetic number, because the mean of its divisors is an integer number (1727376).

Almost surely, 2^39400564 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 39400564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41457024).

39400564 is an abundant number, since it is smaller than the sum of its proper divisors (43513484).

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

39400564 is a wasteful number, since it uses less digits than its factorization.

39400564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 39400564 is about 6276.9868567650. The cubic root of 39400564 is about 340.2782151866.

The spelling of 39400564 in words is "thirty-nine million, four hundred thousand, five hundred sixty-four".