601473600 has 1008 divisors, whose sum is σ = 2889065088. Its totient is φ = 119439360.

The previous prime is 601473599. The next prime is 601473641. The reversal of 601473600 is 6374106.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×601473600³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35380792 + ... + 35380808.

It is an arithmetic number, because the mean of its divisors is an integer number (2866136).

Almost surely, 2^601473600 is an apocalyptic number.

601473600 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 601473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444532544).

601473600 is an abundant number, since it is smaller than the sum of its proper divisors (2287591488).

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

601473600 is a wasteful number, since it uses less digits than its factorization.

601473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 601473600 is about 24524.9587155616. The cubic root of 601473600 is about 844.1225909991.

The spelling of 601473600 in words is "six hundred one million, four hundred seventy-three thousand, six hundred".