40384240 has 120 divisors (see below), whose sum is σ = 106198560. Its totient is φ = 14257152.

The previous prime is 40384237. The next prime is 40384271. The reversal of 40384240 is 4248304.

40384240 = 80² + 81² + ... + 495².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392029 + ... + 392131.

It is an arithmetic number, because the mean of its divisors is an integer number (884988).

Almost surely, 2^40384240 is an apocalyptic number.

40384240 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 40384240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53099280).

40384240 is an abundant number, since it is smaller than the sum of its proper divisors (65814320).

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

40384240 is a wasteful number, since it uses less digits than its factorization.

40384240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 40384240 is about 6354.8595578502. The cubic root of 40384240 is about 343.0867701155.

The spelling of 40384240 in words is "forty million, three hundred eighty-four thousand, two hundred forty".