1406030400 has 420 divisors, whose sum is σ = 5449752880. Its totient is φ = 354585600.

The previous prime is 1406030399. The next prime is 1406030413. The reversal of 1406030400 is 40306041.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462115 + ... + 2462685.

Almost surely, 2^1406030400 is an apocalyptic number.

1406030400 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 1406030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724876440).

1406030400 is an abundant number, since it is smaller than the sum of its proper divisors (4043722480).

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

1406030400 is a wasteful number, since it uses less digits than its factorization.

1406030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1406030400 is about 37497.0718856820. The cubic root of 1406030400 is about 1120.2928655896.

Adding to 1406030400 its reverse (40306041), we get a palindrome (1446336441).

The spelling of 1406030400 in words is "one billion, four hundred six million, thirty thousand, four hundred".