1450400 has 108 divisors (see below), whose sum is σ = 4230198. Its totient is φ = 483840.

The previous prime is 1450399. The next prime is 1450429. The reversal of 1450400 is 40541.

It can be written as a sum of positive squares in 3 ways, for example, as 1317904 + 132496 = 1148^2 + 364^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39182 + ... + 39218.

2^1450400 is an apocalyptic number.

1450400 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 1450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115099).

1450400 is an abundant number, since it is smaller than the sum of its proper divisors (2779798).

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

1450400 is a wasteful number, since it uses less digits than its factorization.

1450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1450400 is about 1204.3255373860. The cubic root of 1450400 is about 113.1955264665.

Adding to 1450400 its reverse (40541), we get a palindrome (1490941).

It can be divided in two parts, 14 and 50400, that multiplied together give a square (705600 = 840²).

The spelling of 1450400 in words is "one million, four hundred fifty thousand, four hundred".