40449024 has 352 divisors, whose sum is σ = 157209600. Its totient is φ = 9953280.

The previous prime is 40449011. The next prime is 40449041. The reversal of 40449024 is 42094404.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×40449024² = 3272247085105152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128887 + ... + 2128905.

Almost surely, 2^40449024 is an apocalyptic number.

40449024 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 40449024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78604800).

40449024 is an abundant number, since it is smaller than the sum of its proper divisors (116760576).

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

40449024 is a wasteful number, since it uses less digits than its factorization.

40449024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40449024 is about 6359.9547168199. The cubic root of 40449024 is about 343.2701309076.

40449024 divided by its product of nonzero digits (4608) gives a palindrome (8778).

The spelling of 40449024 in words is "forty million, four hundred forty-nine thousand, twenty-four".