1416446400 has 168 divisors, whose sum is σ = 4668652080. Its totient is φ = 375971840.

The previous prime is 1416446399. The next prime is 1416446431. The reversal of 1416446400 is 46446141.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1290652 + ... + 1291748.

Almost surely, 2^1416446400 is an apocalyptic number.

1416446400 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 1416446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334326040).

1416446400 is an abundant number, since it is smaller than the sum of its proper divisors (3252205680).

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

1416446400 is a wasteful number, since it uses less digits than its factorization.

1416446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1416446400 is about 37635.7064501253. The cubic root of 1416446400 is about 1123.0524724866.

The spelling of 1416446400 in words is "one billion, four hundred sixteen million, four hundred forty-six thousand, four hundred".