407256064 has 44 divisors (see below), whose sum is σ = 820339344. Its totient is φ = 202072064.

The previous prime is 407256049. The next prime is 407256067. The reversal of 407256064 is 460652704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407256067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138837 + ... + 141739.

It is an arithmetic number, because the mean of its divisors is an integer number (18644076).

Almost surely, 2^407256064 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 407256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410169672).

407256064 is an abundant number, since it is smaller than the sum of its proper divisors (413083280).

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

407256064 is a wasteful number, since it uses less digits than its factorization.

407256064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 407256064 is about 20180.5863145747. The cubic root of 407256064 is about 741.2348896533.

The spelling of 407256064 in words is "four hundred seven million, two hundred fifty-six thousand, sixty-four".