144464400 has 90 divisors (see below), whose sum is σ = 501344090. Its totient is φ = 38522880.

The previous prime is 144464393. The next prime is 144464407. The reversal of 144464400 is 4464441.

144464400 is a `hidden beast` number, since 14 + 4 + 4 + 644 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (144464393) and next prime (144464407).

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 143137296 = 1152^2 + 11964^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (144464407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16465 + ... + 23664.

Almost surely, 2^144464400 is an apocalyptic number.

144464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144464400 is an abundant number, since it is smaller than the sum of its proper divisors (356879690).

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

144464400 is a wasteful number, since it uses less digits than its factorization.

144464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40153 (or 40139 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 144464400 is about 12019.3344241684. The cubic root of 144464400 is about 524.7111336056.

The spelling of 144464400 in words is "one hundred forty-four million, four hundred sixty-four thousand, four hundred".