40484400 has 120 divisors (see below), whose sum is σ = 141520704. Its totient is φ = 9811200.

The previous prime is 40484399. The next prime is 40484407. The reversal of 40484400 is 448404.

40484400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×40484400³ (a number of 24 digits) contains 333 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (40484407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11667 + ... + 14733.

Almost surely, 2^40484400 is an apocalyptic number.

40484400 is a gapful number since it is divisible by the number (40) 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 40484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70760352).

40484400 is an abundant number, since it is smaller than the sum of its proper divisors (101036304).

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

40484400 is a wasteful number, since it uses less digits than its factorization.

40484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 40484400 is about 6362.7352608764. The cubic root of 40484400 is about 343.3701744068.

It can be divided in two parts, 4048 and 4400, that added together give a palindrome (8448).

The spelling of 40484400 in words is "forty million, four hundred eighty-four thousand, four hundred".