608798400 has 168 divisors, whose sum is σ = 2282830080. Its totient is φ = 139146240.

The previous prime is 608798371. The next prime is 608798401. The reversal of 608798400 is 4897806.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (608798401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24541 + ... + 42659.

Almost surely, 2^608798400 is an apocalyptic number.

608798400 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 608798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141415040).

608798400 is an abundant number, since it is smaller than the sum of its proper divisors (1674031680).

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

608798400 is a wasteful number, since it uses less digits than its factorization.

608798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18151 (or 18136 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 608798400 is about 24673.8403982842. The cubic root of 608798400 is about 847.5353749994.

The spelling of 608798400 in words is "six hundred eight million, seven hundred ninety-eight thousand, four hundred".