1406349200 has 120 divisors (see below), whose sum is σ = 3581723880. Its totient is φ = 529715200.

The previous prime is 1406349187. The next prime is 1406349209. The reversal of 1406349200 is 29436041.

It can be written as a sum of positive squares in 12 ways, for example, as 962488576 + 443860624 = 31024^2 + 21068^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406349209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474122 + ... + 477078.

It is an arithmetic number, because the mean of its divisors is an integer number (29847699).

Almost surely, 2^1406349200 is an apocalyptic number.

1406349200 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 1406349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790861940).

1406349200 is an abundant number, since it is smaller than the sum of its proper divisors (2175374680).

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

1406349200 is a wasteful number, since it uses less digits than its factorization.

1406349200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 1406349200 is about 37501.3226433415. The cubic root of 1406349200 is about 1120.3775300407.

The spelling of 1406349200 in words is "one billion, four hundred six million, three hundred forty-nine thousand, two hundred".