1007482405 has 16 divisors (see below), whose sum is σ = 1233675504. Its totient is φ = 789626880.

The previous prime is 1007482393. The next prime is 1007482451. The reversal of 1007482405 is 5042847001.

1007482405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 31169889 + 976312516 = 5583^2 + 31246^2 .

It is not a de Polignac number, because 1007482405 - 2¹⁵ = 1007449637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71959 + ... + 84811.

It is an arithmetic number, because the mean of its divisors is an integer number (77104719).

Almost surely, 2^1007482405 is an apocalyptic number.

It is an amenable number.

1007482405 is a deficient number, since it is larger than the sum of its proper divisors (226193099).

1007482405 is a wasteful number, since it uses less digits than its factorization.

1007482405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13176.

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 1007482405 is about 31740.8633310438. The cubic root of 1007482405 is about 1002.4879400211.

The spelling of 1007482405 in words is "one billion, seven million, four hundred eighty-two thousand, four hundred five".