407067648 has 88 divisors (see below), whose sum is σ = 1168558608. Its totient is φ = 125239296.

The previous prime is 407067643. The next prime is 407067671. The reversal of 407067648 is 846760704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407067641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34840 + ... + 45032.

Almost surely, 2^407067648 is an apocalyptic number.

407067648 is a gapful number since it is divisible by the number (48) 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 407067648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584279304).

407067648 is an abundant number, since it is smaller than the sum of its proper divisors (761490960).

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

407067648 is a wasteful number, since it uses less digits than its factorization.

407067648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10229 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 407067648 is about 20175.9175256046. The cubic root of 407067648 is about 741.1205618640.

The spelling of 407067648 in words is "four hundred seven million, sixty-seven thousand, six hundred forty-eight".