144790400 has 48 divisors (see below), whose sum is σ = 357685440. Its totient is φ = 57914880.

The previous prime is 144790397. The next prime is 144790421. The reversal of 144790400 is 4097441.

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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19424 + ... + 25823.

It is an arithmetic number, because the mean of its divisors is an integer number (7451780).

Almost surely, 2^144790400 is an apocalyptic number.

144790400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144790400 is an abundant number, since it is smaller than the sum of its proper divisors (212895040).

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

144790400 is an equidigital number, since it uses as much as digits as its factorization.

144790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45271 (or 45254 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 144790400 is about 12032.8882650842. Note that the first 3 decimals coincide. The cubic root of 144790400 is about 525.1055267843.

The spelling of 144790400 in words is "one hundred forty-four million, seven hundred ninety thousand, four hundred".