1450366560 has 480 divisors, whose sum is σ = 5631262560. Its totient is φ = 349913088.

The previous prime is 1450366553. The next prime is 1450366597. The reversal of 1450366560 is 656630541.

1450366560 is a `hidden beast` number, since 14 + 50 + 36 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6389167 + ... + 6389393.

It is an arithmetic number, because the mean of its divisors is an integer number (11731797).

Almost surely, 2^1450366560 is an apocalyptic number.

1450366560 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 1450366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815631280).

1450366560 is an abundant number, since it is smaller than the sum of its proper divisors (4180896000).

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

1450366560 is a wasteful number, since it uses less digits than its factorization.

1450366560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1450366560 is about 38083.6783937686. The cubic root of 1450366560 is about 1131.9465652544.

The spelling of 1450366560 in words is "one billion, four hundred fifty million, three hundred sixty-six thousand, five hundred sixty".