1509940638 has 48 divisors (see below), whose sum is σ = 3342424176. Its totient is φ = 492460800.

The previous prime is 1509940637. The next prime is 1509940673. The reversal of 1509940638 is 8360499051.

It is a happy number.

1509940638 is a `hidden beast` number, since 1 + 5 + 0 + 9 + 9 + 4 + 0 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1509940593 and 1509940602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1509940637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380581 + ... + 384527.

It is an arithmetic number, because the mean of its divisors is an integer number (69633837).

Almost surely, 2^1509940638 is an apocalyptic number.

1509940638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1509940638 is an abundant number, since it is smaller than the sum of its proper divisors (1832483538).

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

1509940638 is a wasteful number, since it uses less digits than its factorization.

1509940638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1509940638 is about 38857.9546296508. The cubic root of 1509940638 is about 1147.2373858999.

The spelling of 1509940638 in words is "one billion, five hundred nine million, nine hundred forty thousand, six hundred thirty-eight".