1407804138 has 60 divisors (see below), whose sum is σ = 3415912038. Its totient is φ = 433162080.

The previous prime is 1407804137. The next prime is 1407804143. The reversal of 1407804138 is 8314087041.

It can be written as a sum of positive squares in 3 ways, for example, as 784952289 + 622851849 = 28017^2 + 24957^2 .

It is not an unprimeable number, because it can be changed into a prime (1407804137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1668 + ... + 53088.

Almost surely, 2^1407804138 is an apocalyptic number.

1407804138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407804138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707956019).

1407804138 is an abundant number, since it is smaller than the sum of its proper divisors (2008107900).

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

1407804138 is a wasteful number, since it uses less digits than its factorization.

1407804138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51461 (or 51439 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1407804138 is about 37520.7161178995. The cubic root of 1407804138 is about 1120.7637589215.

The spelling of 1407804138 in words is "one billion, four hundred seven million, eight hundred four thousand, one hundred thirty-eight".