1402030400 has 84 divisors (see below), whose sum is σ = 3473615100. Its totient is φ = 556953600.

The previous prime is 1402030391. The next prime is 1402030411. The reversal of 1402030400 is 40302041.

It can be written as a sum of positive squares in 6 ways, for example, as 43665664 + 1358364736 = 6608^2 + 36856^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 235460 + ... + 241340.

Almost surely, 2^1402030400 is an apocalyptic number.

1402030400 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 1402030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736807550).

1402030400 is an abundant number, since it is smaller than the sum of its proper divisors (2071584700).

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

1402030400 is a wasteful number, since it uses less digits than its factorization.

1402030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1402030400 is about 37443.6963987264. The cubic root of 1402030400 is about 1119.2294870478.

Adding to 1402030400 its reverse (40302041), we get a palindrome (1442332441).

The spelling of 1402030400 in words is "one billion, four hundred two million, thirty thousand, four hundred".