1416396800 has 384 divisors, whose sum is σ = 4550750400. Its totient is φ = 424673280.

The previous prime is 1416396799. The next prime is 1416396809. The reversal of 1416396800 is 86936141.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416396809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74547191 + ... + 74547209.

Almost surely, 2^1416396800 is an apocalyptic number.

1416396800 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 1416396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275375200).

1416396800 is an abundant number, since it is smaller than the sum of its proper divisors (3134353600).

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

1416396800 is an equidigital number, since it uses as much as digits as its factorization.

1416396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1416396800 is about 37635.0474956522. The cubic root of 1416396800 is about 1123.0393636125.

The spelling of 1416396800 in words is "one billion, four hundred sixteen million, three hundred ninety-six thousand, eight hundred".