144292400 has 120 divisors (see below), whose sum is σ = 410077920. Its totient is φ = 47738880.

The previous prime is 144292399. The next prime is 144292417. The reversal of 144292400 is 4292441.

It is a self number, because there is not a number n which added to its sum of digits gives 144292400.

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, 80312 + ... + 82088.

It is an arithmetic number, because the mean of its divisors is an integer number (3417316).

Almost surely, 2^144292400 is an apocalyptic number.

144292400 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 144292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205038960).

144292400 is an abundant number, since it is smaller than the sum of its proper divisors (265785520).

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

144292400 is a wasteful number, since it uses less digits than its factorization.

144292400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 144292400 is about 12012.1771548708. The cubic root of 144292400 is about 524.5028097182.

The spelling of 144292400 in words is "one hundred forty-four million, two hundred ninety-two thousand, four hundred".