407063448 has 256 divisors, whose sum is σ = 1327104000. Its totient is φ = 114307200.

The previous prime is 407063399. The next prime is 407063473. The reversal of 407063448 is 844360704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3205161 + ... + 3205287.

It is an arithmetic number, because the mean of its divisors is an integer number (5184000).

Almost surely, 2^407063448 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 407063448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663552000).

407063448 is an abundant number, since it is smaller than the sum of its proper divisors (920040552).

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

407063448 is a wasteful number, since it uses less digits than its factorization.

407063448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 407063448 is about 20175.8134408504. The cubic root of 407063448 is about 741.1180129699.

The spelling of 407063448 in words is "four hundred seven million, sixty-three thousand, four hundred forty-eight".