712114400 has 144 divisors (see below), whose sum is σ = 1803884544. Its totient is φ = 274337280.

The previous prime is 712114397. The next prime is 712114421. The reversal of 712114400 is 4411217.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4368719 + ... + 4368881.

It is an arithmetic number, because the mean of its divisors is an integer number (12526976).

Almost surely, 2^712114400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901942272).

712114400 is an abundant number, since it is smaller than the sum of its proper divisors (1091770144).

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

712114400 is a wasteful number, since it uses less digits than its factorization.

712114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 712114400 is about 26685.4717027824. The cubic root of 712114400 is about 892.9968411661.

Adding to 712114400 its reverse (4411217), we get a palindrome (716525617).

The spelling of 712114400 in words is "seven hundred twelve million, one hundred fourteen thousand, four hundred".