1429200 has 90 divisors (see below), whose sum is σ = 4972214. Its totient is φ = 380160.

The previous prime is 1429187. The next prime is 1429201. The reversal of 1429200 is 29241.

It can be written as a sum of positive squares in 3 ways, for example, as 156816 + 1272384 = 396^2 + 1128^2 .

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

It is a super-2 number, since 2×1429200² = 4085225280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3402 + ... + 3798.

2^1429200 is an apocalyptic number.

1429200 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 1429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486107).

1429200 is an abundant number, since it is smaller than the sum of its proper divisors (3543014).

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

1429200 is a wasteful number, since it uses less digits than its factorization.

1429200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1429200 is about 1195.4915307103. The cubic root of 1429200 is about 112.6413039245.

It can be divided in two parts, 1 and 429200, that added together give a triangular number (429201 = T₉₂₆).

The spelling of 1429200 in words is "one million, four hundred twenty-nine thousand, two hundred".