721414400 has 108 divisors (see below), whose sum is σ = 2040827712. Its totient is φ = 247326720.

The previous prime is 721414387. The next prime is 721414409. The reversal of 721414400 is 4414127.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (721414409) 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, 36749 + ... + 52851.

Almost surely, 2^721414400 is an apocalyptic number.

721414400 is a gapful number since it is divisible by the number (70) 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 721414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020413856).

721414400 is an abundant number, since it is smaller than the sum of its proper divisors (1319413312).

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

721414400 is a wasteful number, since it uses less digits than its factorization.

721414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16136 (or 16117 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 721414400 is about 26859.1585869699. The cubic root of 721414400 is about 896.8674634646.

Adding to 721414400 its reverse (4414127), we get a palindrome (725828527).

The spelling of 721414400 in words is "seven hundred twenty-one million, four hundred fourteen thousand, four hundred".