407538480864 has 96 divisors (see below), whose sum is σ = 1080732391200. Its totient is φ = 134457344000.

The previous prime is 407538480793. The next prime is 407538480893. The reversal of 407538480864 is 468084835704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×407538480864² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45072184 + ... + 45081224.

It is an arithmetic number, because the mean of its divisors is an integer number (11257629075).

Almost surely, 2^407538480864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407538480864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540366195600).

407538480864 is an abundant number, since it is smaller than the sum of its proper divisors (673193910336).

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

407538480864 is a wasteful number, since it uses less digits than its factorization.

407538480864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13804 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 407538480864 in words is "four hundred seven billion, five hundred thirty-eight million, four hundred eighty thousand, eight hundred sixty-four".