140448000 has 576 divisors, whose sum is σ = 612218880. Its totient is φ = 27648000.

The previous prime is 140447987. The next prime is 140448023. The reversal of 140448000 is 844041.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 7391991 + ... + 7392009.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 2^140448000 is an apocalyptic number.

140448000 is a gapful number since it is divisible by the number (10) 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 140448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306109440).

140448000 is an abundant number, since it is smaller than the sum of its proper divisors (471770880).

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

140448000 is a wasteful number, since it uses less digits than its factorization.

140448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 140448000 is about 11851.0759005248. The cubic root of 140448000 is about 519.8026864803.

The spelling of 140448000 in words is "one hundred forty million, four hundred forty-eight thousand".