1406342400 has 216 divisors, whose sum is σ = 4699074240. Its totient is φ = 370360320.

The previous prime is 1406342393. The next prime is 1406342417. The reversal of 1406342400 is 42436041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1708389 + ... + 1709211.

Almost surely, 2^1406342400 is an apocalyptic number.

1406342400 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 1406342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349537120).

1406342400 is an abundant number, since it is smaller than the sum of its proper divisors (3292731840).

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

1406342400 is an equidigital number, since it uses as much as digits as its factorization.

1406342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1406342400 is about 37501.2319797630. The cubic root of 1406342400 is about 1120.3757242825.

Adding to 1406342400 its reverse (42436041), we get a palindrome (1448778441).

The spelling of 1406342400 in words is "one billion, four hundred six million, three hundred forty-two thousand, four hundred".