40079200 has 144 divisors (see below), whose sum is σ = 118679904. Its totient is φ = 12902400.

The previous prime is 40079173. The next prime is 40079201. The reversal of 40079200 is 297004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40079201) 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, 94990 + ... + 95410.

It is an arithmetic number, because the mean of its divisors is an integer number (824166).

Almost surely, 2^40079200 is an apocalyptic number.

40079200 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 40079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59339952).

40079200 is an abundant number, since it is smaller than the sum of its proper divisors (78600704).

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

40079200 is a wasteful number, since it uses less digits than its factorization.

40079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 40079200 is about 6330.8135338201. The cubic root of 40079200 is about 342.2207573509.

The spelling of 40079200 in words is "forty million, seventy-nine thousand, two hundred".