39468240 has 240 divisors, whose sum is σ = 155990016. Its totient is φ = 8755200.

The previous prime is 39468197. The next prime is 39468241. The reversal of 39468240 is 4286493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39468195 and 39468204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39468241) 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, 206545 + ... + 206735.

Almost surely, 2^39468240 is an apocalyptic number.

39468240 is a gapful number since it is divisible by the number (30) 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 39468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

39468240 is an abundant number, since it is smaller than the sum of its proper divisors (116521776).

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

39468240 is a wasteful number, since it uses less digits than its factorization.

39468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 39468240 is about 6282.3753469528. The cubic root of 39468240 is about 340.4729289481.

The spelling of 39468240 in words is "thirty-nine million, four hundred sixty-eight thousand, two hundred forty".