701640400 has 60 divisors (see below), whose sum is σ = 1704717900. Its totient is φ = 277488640.

The previous prime is 701640383. The next prime is 701640427. The reversal of 701640400 is 4046107.

It can be written as a sum of positive squares in 6 ways, for example, as 62157456 + 639482944 = 7884^2 + 25288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25746 + ... + 45454.

It is an arithmetic number, because the mean of its divisors is an integer number (28411965).

Almost surely, 2^701640400 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 701640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852358950).

701640400 is an abundant number, since it is smaller than the sum of its proper divisors (1003077500).

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

701640400 is a wasteful number, since it uses less digits than its factorization.

701640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19816 (or 19805 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 701640400 is about 26488.4956160217. The cubic root of 701640400 is about 888.5970405307.

Adding to 701640400 its reverse (4046107), we get a palindrome (705686507).

The spelling of 701640400 in words is "seven hundred one million, six hundred forty thousand, four hundred".