144510464 has 80 divisors (see below), whose sum is σ = 335904096. Its totient is φ = 60825600.

The previous prime is 144510461. The next prime is 144510469. The reversal of 144510464 is 464015441.

It is a super-4 number, since 4×144510464⁴ (a number of 34 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144510461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218294 + ... + 218954.

Almost surely, 2^144510464 is an apocalyptic number.

144510464 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 144510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167952048).

144510464 is an abundant number, since it is smaller than the sum of its proper divisors (191393632).

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

144510464 is an frugal number, since it uses more digits than its factorization.

144510464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 144510464 is about 12021.2505173131. The cubic root of 144510464 is about 524.7668975750.

The spelling of 144510464 in words is "one hundred forty-four million, five hundred ten thousand, four hundred sixty-four".