40507264 has 64 divisors (see below), whose sum is σ = 94076640. Its totient is φ = 17012736.

The previous prime is 40507261. The next prime is 40507273. The reversal of 40507264 is 46270504.

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

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 (40507261) 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, 47062 + ... + 47914.

Almost surely, 2^40507264 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 40507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47038320).

40507264 is an abundant number, since it is smaller than the sum of its proper divisors (53569376).

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

40507264 is an equidigital number, since it uses as much as digits as its factorization.

40507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 40507264 is about 6364.5317188305. The cubic root of 40507264 is about 343.4348029072.

Adding to 40507264 its reverse (46270504), we get a palindrome (86777768).

The spelling of 40507264 in words is "forty million, five hundred seven thousand, two hundred sixty-four".