698438400 has 216 divisors, whose sum is σ = 2515297344. Its totient is φ = 169267200.

The previous prime is 698438369. The next prime is 698438413. The reversal of 698438400 is 4834896.

It is a super-4 number, since 4×698438400⁴ (a number of 36 digits) contains 4444 as substring.

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, 209547 + ... + 212853.

Almost surely, 2^698438400 is an apocalyptic number.

698438400 is a gapful number since it is divisible by the number (60) 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 698438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257648672).

698438400 is an abundant number, since it is smaller than the sum of its proper divisors (1816858944).

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

698438400 is a wasteful number, since it uses less digits than its factorization.

698438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 698438400 is about 26427.9851672427. The cubic root of 698438400 is about 887.2432478214.

The spelling of 698438400 in words is "six hundred ninety-eight million, four hundred thirty-eight thousand, four hundred".