40257280 has 72 divisors (see below), whose sum is σ = 110228832. Its totient is φ = 13799424.

The previous prime is 40257271. The next prime is 40257289. The reversal of 40257280 is 8275204.

It is an interprime number because it is at equal distance from previous prime (40257271) and next prime (40257289).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40257289) 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, 6714 + ... + 11206.

It is an arithmetic number, because the mean of its divisors is an integer number (1530956).

Almost surely, 2^40257280 is an apocalyptic number.

40257280 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 40257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55114416).

40257280 is an abundant number, since it is smaller than the sum of its proper divisors (69971552).

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

40257280 is an equidigital number, since it uses as much as digits as its factorization.

40257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 40257280 is about 6344.8624886596. The cubic root of 40257280 is about 342.7268605532.

The spelling of 40257280 in words is "forty million, two hundred fifty-seven thousand, two hundred eighty".