501464448 has 192 divisors, whose sum is σ = 1501297200. Its totient is φ = 160579584.

The previous prime is 501464413. The next prime is 501464459. The reversal of 501464448 is 844464105.

It is a happy number.

501464448 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 644 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 5634388 + ... + 5634476.

Almost surely, 2^501464448 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 501464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750648600).

501464448 is an abundant number, since it is smaller than the sum of its proper divisors (999832752).

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

501464448 is a wasteful number, since it uses less digits than its factorization.

501464448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 501464448 is about 22393.4018853769. The cubic root of 501464448 is about 794.4746594551.

The spelling of 501464448 in words is "five hundred one million, four hundred sixty-four thousand, four hundred forty-eight".