1442480400 has 225 divisors, whose sum is σ = 5201597973. Its totient is φ = 382838400.

The previous prime is 1442480393. The next prime is 1442480407. The reversal of 1442480400 is 40842441.

It is a happy number.

The square root of 1442480400 is 37980.

It is a perfect power (a square), and thus also a powerful number.

1442480400 is a `hidden beast` number, since 14 + 4 + 248 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1442480393) and next prime (1442480407).

It can be written as a sum of positive squares in only one way, i.e., 519292944 + 923187456 = 22788^2 + 30384^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1442480407) 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 44 ways as a sum of consecutive naturals, for example, 6836295 + ... + 6836505.

Almost surely, 2^1442480400 is an apocalyptic number.

1442480400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1442480400 is the 37980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442480400

1442480400 is an abundant number, since it is smaller than the sum of its proper divisors (3759117573).

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

1442480400 is an equidigital number, since it uses as much as digits as its factorization.

1442480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The cubic root of 1442480400 is about 1129.8912365623.

Multiplying 1442480400 by its product of nonzero digits (4096), we get a square (5908399718400 = 2430720²).

The spelling of 1442480400 in words is "one billion, four hundred forty-two million, four hundred eighty thousand, four hundred".