1412332400 has 60 divisors (see below), whose sum is σ = 3410542872. Its totient is φ = 562033920.

The previous prime is 1412332391. The next prime is 1412332403. The reversal of 1412332400 is 42332141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412332403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69839 + ... + 87761.

Almost surely, 2^1412332400 is an apocalyptic number.

1412332400 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 1412332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705271436).

1412332400 is an abundant number, since it is smaller than the sum of its proper divisors (1998210472).

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

1412332400 is a wasteful number, since it uses less digits than its factorization.

1412332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18138 (or 18127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1412332400 is about 37581.0111625539. The cubic root of 1412332400 is about 1121.9641342835.

Adding to 1412332400 its reverse (42332141), we get a palindrome (1454664541).

The spelling of 1412332400 in words is "one billion, four hundred twelve million, three hundred thirty-two thousand, four hundred".