601468800 has 96 divisors (see below), whose sum is σ = 1981119480. Its totient is φ = 160389120.

The previous prime is 601468799. The next prime is 601468801. The reversal of 601468800 is 8864106.

601468800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (601468799) and next prime (601468801).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601468801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21727 + ... + 40926.

Almost surely, 2^601468800 is an apocalyptic number.

601468800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

601468800 is an abundant number, since it is smaller than the sum of its proper divisors (1379650680).

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

601468800 is a wasteful number, since it uses less digits than its factorization.

601468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62680 (or 62663 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 601468800 is about 24524.8608558744. The cubic root of 601468800 is about 844.1203455145.

The spelling of 601468800 in words is "six hundred one million, four hundred sixty-eight thousand, eight hundred".