40484080 has 160 divisors (see below), whose sum is σ = 118992384. Its totient is φ = 12469248.

The previous prime is 40484077. The next prime is 40484083. The reversal of 40484080 is 8048404.

40484080 = 87³ + 88³ + ... + 121³.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40484077) and next prime (40484083).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40484083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487719 + ... + 487801.

Almost surely, 2^40484080 is an apocalyptic number.

40484080 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 40484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59496192).

40484080 is an abundant number, since it is smaller than the sum of its proper divisors (78508304).

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

40484080 is a wasteful number, since it uses less digits than its factorization.

40484080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

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

The square root of 40484080 is about 6362.7101144088. The cubic root of 40484080 is about 343.3692697065.

It can be divided in two parts, 4048 and 4080, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 40484080 in words is "forty million, four hundred eighty-four thousand, eighty".