39466440 has 160 divisors (see below), whose sum is σ = 143007480. Its totient is φ = 9704448.

The previous prime is 39466423. The next prime is 39466463. The reversal of 39466440 is 4466493.

39466440 is a `hidden beast` number, since 3 + 9 + 4 + 6 + 644 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13883076 + 25583364 = 3726^2 + 5058^2 .

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 = 39466395 and 39466404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41652 + ... + 42588.

Almost surely, 2^39466440 is an apocalyptic number.

39466440 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 39466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71503740).

39466440 is an abundant number, since it is smaller than the sum of its proper divisors (103541040).

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

39466440 is a wasteful number, since it uses less digits than its factorization.

39466440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 39466440 is about 6282.2320874033. The cubic root of 39466440 is about 340.4677529670.

The spelling of 39466440 in words is "thirty-nine million, four hundred sixty-six thousand, four hundred forty".