701330400 has 360 divisors, whose sum is σ = 2608895520. Its totient is φ = 183306240.

The previous prime is 701330389. The next prime is 701330401. The reversal of 701330400 is 4033107.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701330401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5119132 + ... + 5119268.

It is an arithmetic number, because the mean of its divisors is an integer number (7246932).

Almost surely, 2^701330400 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 701330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304447760).

701330400 is an abundant number, since it is smaller than the sum of its proper divisors (1907565120).

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

701330400 is a wasteful number, since it uses less digits than its factorization.

701330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 701330400 is about 26482.6433725941. The cubic root of 701330400 is about 888.4661540817.

Adding to 701330400 its reverse (4033107), we get a palindrome (705363507).

The spelling of 701330400 in words is "seven hundred one million, three hundred thirty thousand, four hundred".