40264224 has 192 divisors, whose sum is σ = 142248960. Its totient is φ = 9630720.

The previous prime is 40264219. The next prime is 40264229. The reversal of 40264224 is 42246204.

It is an interprime number because it is at equal distance from previous prime (40264219) and next prime (40264229).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40264194 and 40264203.

It is not an unprimeable number, because it can be changed into a prime (40264229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95887 + ... + 96305.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 2^40264224 is an apocalyptic number.

40264224 is a gapful number since it is divisible by the number (44) 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 40264224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

40264224 is an abundant number, since it is smaller than the sum of its proper divisors (101984736).

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

40264224 is a wasteful number, since it uses less digits than its factorization.

40264224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 40264224 is about 6345.4096794454. The cubic root of 40264224 is about 342.7465651341.

The spelling of 40264224 in words is "forty million, two hundred sixty-four thousand, two hundred twenty-four".