40257408 has 64 divisors (see below), whose sum is σ = 109584720. Its totient is φ = 13086720.

The previous prime is 40257403. The next prime is 40257421. The reversal of 40257408 is 80475204.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40257403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14466 + ... + 17022.

Almost surely, 2^40257408 is an apocalyptic number.

40257408 is a gapful number since it is divisible by the number (48) 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 40257408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54792360).

40257408 is an abundant number, since it is smaller than the sum of its proper divisors (69327312).

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

40257408 is a wasteful number, since it uses less digits than its factorization.

40257408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 40257408 is about 6344.8725755526. The cubic root of 40257408 is about 342.7272237918.

The spelling of 40257408 in words is "forty million, two hundred fifty-seven thousand, four hundred eight".