1645464960 has 192 divisors, whose sum is σ = 5703497280. Its totient is φ = 437133312.

The previous prime is 1645464937. The next prime is 1645465001. The reversal of 1645464960 is 694645461.

It is a happy number.

1645464960 is a `hidden beast` number, since 1 + 6 + 4 + 546 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2666572 + ... + 2667188.

It is an arithmetic number, because the mean of its divisors is an integer number (29705715).

Almost surely, 2^1645464960 is an apocalyptic number.

1645464960 is a gapful number since it is divisible by the number (10) 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 1645464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851748640).

1645464960 is an abundant number, since it is smaller than the sum of its proper divisors (4058032320).

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

1645464960 is a wasteful number, since it uses less digits than its factorization.

1645464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1645464960 is about 40564.3311297006. The cubic root of 1645464960 is about 1180.5821507466.

The spelling of 1645464960 in words is "one billion, six hundred forty-five million, four hundred sixty-four thousand, nine hundred sixty".