700442400 has 288 divisors, whose sum is σ = 2631581568. Its totient is φ = 158515200.

The previous prime is 700442359. The next prime is 700442411. The reversal of 700442400 is 4244007.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2906280 + ... + 2906520.

It is an arithmetic number, because the mean of its divisors is an integer number (9137436).

Almost surely, 2^700442400 is an apocalyptic number.

700442400 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 700442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315790784).

700442400 is an abundant number, since it is smaller than the sum of its proper divisors (1931139168).

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

700442400 is a wasteful number, since it uses less digits than its factorization.

700442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 700442400 is about 26465.8723642354. The cubic root of 700442400 is about 888.0910141272.

Adding to 700442400 its reverse (4244007), we get a palindrome (704686407).

The spelling of 700442400 in words is "seven hundred million, four hundred forty-two thousand, four hundred".