40257984 has 84 divisors (see below), whose sum is σ = 115619784. Its totient is φ = 12289536.

The previous prime is 40257983. The next prime is 40258013. The reversal of 40257984 is 48975204.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40257983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316929 + ... + 317055.

It is an arithmetic number, because the mean of its divisors is an integer number (1376426).

Almost surely, 2^40257984 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 40257984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57809892).

40257984 is an abundant number, since it is smaller than the sum of its proper divisors (75361800).

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

40257984 is a wasteful number, since it uses less digits than its factorization.

40257984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 40257984 is about 6344.9179663728. The cubic root of 40257984 is about 342.7288583559.

Multiplying 40257984 by its sum of digits (39), we get a square (1570061376 = 39624²).

40257984 divided by its sum of digits (39) gives a square (1032256 = 1016²).

The spelling of 40257984 in words is "forty million, two hundred fifty-seven thousand, nine hundred eighty-four".