713966400 has 420 divisors, whose sum is σ = 3003080608. Its totient is φ = 162984960.

The previous prime is 713966377. The next prime is 713966413. The reversal of 713966400 is 4669317.

713966400 is a `hidden beast` number, since 7 + 1 + 3 + 9 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 906807 + ... + 907593.

Almost surely, 2^713966400 is an apocalyptic number.

713966400 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 713966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501540304).

713966400 is an abundant number, since it is smaller than the sum of its proper divisors (2289114208).

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

713966400 is a wasteful number, since it uses less digits than its factorization.

713966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 713966400 is about 26720.1497001795. The cubic root of 713966400 is about 893.7703116971.

The spelling of 713966400 in words is "seven hundred thirteen million, nine hundred sixty-six thousand, four hundred".