604734574900 has 72 divisors (see below), whose sum is σ = 1348130261016. Its totient is φ = 235288166400.

The previous prime is 604734574897. The next prime is 604734574931. The reversal of 604734574900 is 9475437406.

604734574900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 49140248976 + 555594325924 = 221676^2 + 745382^2 .

It is a congruent number.

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, 13893972 + ... + 13937428.

It is an arithmetic number, because the mean of its divisors is an integer number (18724031403).

Almost surely, 2^604734574900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 604734574900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674065130508).

604734574900 is an abundant number, since it is smaller than the sum of its proper divisors (743395686116).

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

604734574900 is a wasteful number, since it uses less digits than its factorization.

604734574900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47269 (or 47262 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 604734574900 in words is "six hundred four billion, seven hundred thirty-four million, five hundred seventy-four thousand, nine hundred".