1450906560 has 224 divisors, whose sum is σ = 5144536320. Its totient is φ = 384943104.

The previous prime is 1450906543. The next prime is 1450906571. The reversal of 1450906560 is 656090541.

1450906560 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 90 + 6 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 2652207 + ... + 2652753.

It is an arithmetic number, because the mean of its divisors is an integer number (22966680).

Almost surely, 2^1450906560 is an apocalyptic number.

1450906560 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 1450906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572268160).

1450906560 is an abundant number, since it is smaller than the sum of its proper divisors (3693629760).

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

1450906560 is a wasteful number, since it uses less digits than its factorization.

1450906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1450906560 is about 38090.7673852864. The cubic root of 1450906560 is about 1132.0870298141.

The spelling of 1450906560 in words is "one billion, four hundred fifty million, nine hundred six thousand, five hundred sixty".