407487834 has 80 divisors (see below), whose sum is σ = 989668680. Its totient is φ = 124571520.

The previous prime is 407487809. The next prime is 407487853. The reversal of 407487834 is 438784704.

It can be written as a sum of positive squares in 4 ways, for example, as 140067225 + 267420609 = 11835^2 + 16353^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 407487834.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 380652 + ... + 381720.

Almost surely, 2^407487834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407487834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494834340).

407487834 is an abundant number, since it is smaller than the sum of its proper divisors (582180846).

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

407487834 is a wasteful number, since it uses less digits than its factorization.

407487834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 407487834 is about 20186.3278978620. The cubic root of 407487834 is about 741.3754755942.

It can be divided in two parts, 407487 and 834, that added together give a square (408321 = 639²).

The spelling of 407487834 in words is "four hundred seven million, four hundred eighty-seven thousand, eight hundred thirty-four".