40406464 has 112 divisors (see below), whose sum is σ = 99486720. Its totient is φ = 15897600.

The previous prime is 40406459. The next prime is 40406489. The reversal of 40406464 is 46460404.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×40406464³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400014 + ... + 400114.

Almost surely, 2^40406464 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 40406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49743360).

40406464 is an abundant number, since it is smaller than the sum of its proper divisors (59080256).

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

40406464 is a wasteful number, since it uses less digits than its factorization.

40406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 40406464 is about 6356.6079004450. The cubic root of 40406464 is about 343.1496936894.

Adding to 40406464 its reverse (46460404), we get a palindrome (86866868).

The spelling of 40406464 in words is "forty million, four hundred six thousand, four hundred sixty-four".