448377930 has 480 divisors, whose sum is σ = 1668522240. Its totient is φ = 84913920.

The previous prime is 448377911. The next prime is 448377953. The reversal of 448377930 is 39773844.

It is a happy number.

It is a super-2 number, since 2×448377930² = 402085536222169800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5675631 + ... + 5675709.

It is an arithmetic number, because the mean of its divisors is an integer number (3476088).

Almost surely, 2^448377930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448377930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834261120).

448377930 is an abundant number, since it is smaller than the sum of its proper divisors (1220144310).

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

448377930 is a wasteful number, since it uses less digits than its factorization.

448377930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 448377930 is about 21174.9363635407. The cubic root of 448377930 is about 765.3875775387.

The spelling of 448377930 in words is "four hundred forty-eight million, three hundred seventy-seven thousand, nine hundred thirty".