406748448 has 36 divisors (see below), whose sum is σ = 1156691718. Its totient is φ = 135582720.

The previous prime is 406748429. The next prime is 406748467. The reversal of 406748448 is 844847604.

It is an interprime number because it is at equal distance from previous prime (406748429) and next prime (406748467).

It can be written as a sum of positive squares in only one way, i.e., 396328464 + 10419984 = 19908^2 + 3228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 705873 + ... + 706448.

Almost surely, 2^406748448 is an apocalyptic number.

406748448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

406748448 is an abundant number, since it is smaller than the sum of its proper divisors (749943270).

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

406748448 is a wasteful number, since it uses less digits than its factorization.

406748448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412337 (or 1412326 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 406748448 is about 20168.0055533511. The cubic root of 406748448 is about 740.9267959176.

The spelling of 406748448 in words is "four hundred six million, seven hundred forty-eight thousand, four hundred forty-eight".