407840448 has 112 divisors (see below), whose sum is σ = 1118347776. Its totient is φ = 131082240.

The previous prime is 407840443. The next prime is 407840483. The reversal of 407840448 is 844048704.

It is not an unprimeable number, because it can be changed into a prime (407840441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810565 + ... + 811067.

It is an arithmetic number, because the mean of its divisors is an integer number (9985248).

Almost surely, 2^407840448 is an apocalyptic number.

407840448 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 407840448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559173888).

407840448 is an abundant number, since it is smaller than the sum of its proper divisors (710507328).

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

407840448 is a wasteful number, since it uses less digits than its factorization.

407840448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 407840448 is about 20195.0599900075. The cubic root of 407840448 is about 741.5892603023.

The spelling of 407840448 in words is "four hundred seven million, eight hundred forty thousand, four hundred forty-eight".