40305408 has 144 divisors (see below), whose sum is σ = 126368256. Its totient is φ = 11243520.

The previous prime is 40305401. The next prime is 40305409. The reversal of 40305408 is 80450304.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40305401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109641 + ... + 110007.

Almost surely, 2^40305408 is an apocalyptic number.

40305408 is a gapful number since it is divisible by the number (48) 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 40305408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63184128).

40305408 is an abundant number, since it is smaller than the sum of its proper divisors (86062848).

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

40305408 is a wasteful number, since it uses less digits than its factorization.

40305408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 40305408 is about 6348.6540305800. The cubic root of 40305408 is about 342.8633840134.

Subtracting 40305408 from its reverse (80450304), we obtain a square (40144896 = 6336²).

The spelling of 40305408 in words is "forty million, three hundred five thousand, four hundred eight".