407040084 has 72 divisors (see below), whose sum is σ = 1129765728. Its totient is φ = 122541120.

The previous prime is 407040079. The next prime is 407040113. The reversal of 407040084 is 480040704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58899 + ... + 65445.

Almost surely, 2^407040084 is an apocalyptic number.

407040084 is a gapful number since it is divisible by the number (44) 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 407040084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564882864).

407040084 is an abundant number, since it is smaller than the sum of its proper divisors (722725644).

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

407040084 is a wasteful number, since it uses less digits than its factorization.

407040084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 407040084 is about 20175.2344224299. The cubic root of 407040084 is about 741.1038335157.

Adding to 407040084 its reverse (480040704), we get a palindrome (887080788).

The spelling of 407040084 in words is "four hundred seven million, forty thousand, eighty-four".