40504464 has 240 divisors, whose sum is σ = 152740224. Its totient is φ = 9676800.

The previous prime is 40504423. The next prime is 40504517. The reversal of 40504464 is 46440504.

It is a super-2 number, since 2×40504464² = 3281223207854592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144004 + ... + 144284.

Almost surely, 2^40504464 is an apocalyptic number.

40504464 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 40504464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76370112).

40504464 is an abundant number, since it is smaller than the sum of its proper divisors (112235760).

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

40504464 is a wasteful number, since it uses less digits than its factorization.

40504464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40504464 is about 6364.3117459785. The cubic root of 40504464 is about 343.4268895972.

Adding to 40504464 its reverse (46440504), we get a palindrome (86944968).

The spelling of 40504464 in words is "forty million, five hundred four thousand, four hundred sixty-four".