40684500 has 72 divisors (see below), whose sum is σ = 128360232. Its totient is φ = 10848000.

The previous prime is 40684489. The next prime is 40684507. The reversal of 40684500 is 548604.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 39917124 = 876^2 + 6318^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40684507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21 + ... + 9020.

It is an arithmetic number, because the mean of its divisors is an integer number (1782781).

Almost surely, 2^40684500 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 40684500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64180116).

40684500 is an abundant number, since it is smaller than the sum of its proper divisors (87675732).

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

40684500 is a wasteful number, since it uses less digits than its factorization.

40684500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9066 (or 9051 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40684500 is about 6378.4402482112. The cubic root of 40684500 is about 343.9349638183.

The spelling of 40684500 in words is "forty million, six hundred eighty-four thousand, five hundred".