144401264 has 80 divisors (see below), whose sum is σ = 341496000. Its totient is φ = 57741312.

The previous prime is 144401263. The next prime is 144401287. The reversal of 144401264 is 462104441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144401263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283442 + ... + 283950.

It is an arithmetic number, because the mean of its divisors is an integer number (4268700).

Almost surely, 2^144401264 is an apocalyptic number.

144401264 is a gapful number since it is divisible by the number (14) 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 144401264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170748000).

144401264 is an abundant number, since it is smaller than the sum of its proper divisors (197094736).

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

144401264 is a wasteful number, since it uses less digits than its factorization.

144401264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 144401264 is about 12016.7077021953. The cubic root of 144401264 is about 524.6346834228.

The spelling of 144401264 in words is "one hundred forty-four million, four hundred one thousand, two hundred sixty-four".