40380600 has 192 divisors, whose sum is σ = 139991040. Its totient is φ = 9561600.

The previous prime is 40380583. The next prime is 40380601. The reversal of 40380600 is 608304.

40380600 = 333² + 334² + ... + 540².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40380601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241717 + ... + 241883.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^40380600 is an apocalyptic number.

40380600 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 40380600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

40380600 is an abundant number, since it is smaller than the sum of its proper divisors (99610440).

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

40380600 is a wasteful number, since it uses less digits than its factorization.

40380600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40380600 is about 6354.5731563969. The cubic root of 40380600 is about 343.0764618586.

Adding to 40380600 its reverse (608304), we get a palindrome (40988904).

It can be divided in two parts, 403 and 80600, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 40380600 in words is "forty million, three hundred eighty thousand, six hundred".