609468000 has 96 divisors (see below), whose sum is σ = 1996656480. Its totient is φ = 162521600.

The previous prime is 609467977. The next prime is 609468001. The reversal of 609468000 is 864906.

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 (609468001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13395 + ... + 37394.

It is an arithmetic number, because the mean of its divisors is an integer number (20798505).

Almost surely, 2^609468000 is an apocalyptic number.

609468000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

609468000 is an abundant number, since it is smaller than the sum of its proper divisors (1387188480).

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

609468000 is a wasteful number, since it uses less digits than its factorization.

609468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50817 (or 50799 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 609468000 is about 24687.4056960224. The cubic root of 609468000 is about 847.8459878129.

The spelling of 609468000 in words is "six hundred nine million, four hundred sixty-eight thousand".