40979600 has 60 divisors (see below), whose sum is σ = 100362996. Its totient is φ = 16074240.

The previous prime is 40979597. The next prime is 40979633. The reversal of 40979600 is 697904.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 173056 + 40806544 = 416^2 + 6388^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20234 + ... + 22166.

Almost surely, 2^40979600 is an apocalyptic number.

40979600 is a gapful number since it is divisible by the number (40) 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 40979600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50181498).

40979600 is an abundant number, since it is smaller than the sum of its proper divisors (59383396).

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

40979600 is a wasteful number, since it uses less digits than its factorization.

40979600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 40979600 is about 6401.5310668621. The cubic root of 40979600 is about 344.7645246060.

The spelling of 40979600 in words is "forty million, nine hundred seventy-nine thousand, six hundred".