645146304 has 112 divisors (see below), whose sum is σ = 1871081856. Its totient is φ = 194560000.

The previous prime is 645146303. The next prime is 645146317. The reversal of 645146304 is 403641546.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (645146303) 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, 529504 + ... + 530720.

It is an arithmetic number, because the mean of its divisors is an integer number (16706088).

Almost surely, 2^645146304 is an apocalyptic number.

645146304 is a gapful number since it is divisible by the number (64) 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 645146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935540928).

645146304 is an abundant number, since it is smaller than the sum of its proper divisors (1225935552).

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

645146304 is a wasteful number, since it uses less digits than its factorization.

645146304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 645146304 is about 25399.7303922699. The cubic root of 645146304 is about 864.0775821966.

The spelling of 645146304 in words is "six hundred forty-five million, one hundred forty-six thousand, three hundred four".