407487304512 has 84 divisors (see below), whose sum is σ = 1174040859940. Its totient is φ = 135125286912.

The previous prime is 407487304493. The next prime is 407487304513. The reversal of 407487304512 is 215403784704.

It can be written as a sum of positive squares in 2 ways, for example, as 262947430656 + 144539873856 = 512784^2 + 380184^2 .

It is a super-4 number, since 4×407487304512⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407487304513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1721587 + ... + 1943922.

Almost surely, 2^407487304512 is an apocalyptic number.

It is an amenable number.

407487304512 is an abundant number, since it is smaller than the sum of its proper divisors (766553555428).

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

407487304512 is a wasteful number, since it uses less digits than its factorization.

407487304512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665720 (or 3665707 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 407487304512 in words is "four hundred seven billion, four hundred eighty-seven million, three hundred four thousand, five hundred twelve".