609974400 has 384 divisors, whose sum is σ = 2382883200. Its totient is φ = 134184960.

The previous prime is 609974369. The next prime is 609974401. The reversal of 609974400 is 4479906.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (609974401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948644 + ... + 1948956.

It is an arithmetic number, because the mean of its divisors is an integer number (6205425).

Almost surely, 2^609974400 is an apocalyptic number.

609974400 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 609974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191441600).

609974400 is an abundant number, since it is smaller than the sum of its proper divisors (1772908800).

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

609974400 is a wasteful number, since it uses less digits than its factorization.

609974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 609974400 is about 24697.6598081681. The cubic root of 609974400 is about 848.0807446551.

It can be divided in two parts, 609 and 974400, that multiplied together give a square (593409600 = 24360²).

The spelling of 609974400 in words is "six hundred nine million, nine hundred seventy-four thousand, four hundred".