40084480 has 44 divisors (see below), whose sum is σ = 96168060. Its totient is φ = 16031744.

The previous prime is 40084477. The next prime is 40084523. The reversal of 40084480 is 8448004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 30647296 = 3072^2 + 5536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1206 + ... + 9034.

Almost surely, 2^40084480 is an apocalyptic number.

40084480 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 40084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48084030).

40084480 is an abundant number, since it is smaller than the sum of its proper divisors (56083580).

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

40084480 is an equidigital number, since it uses as much as digits as its factorization.

40084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 40084480 is about 6331.2305281043. The cubic root of 40084480 is about 342.2357846489.

The spelling of 40084480 in words is "forty million, eighty-four thousand, four hundred eighty".