1450553760 has 288 divisors, whose sum is σ = 5151444480. Its totient is φ = 371404800.

The previous prime is 1450553737. The next prime is 1450553761. The reversal of 1450553760 is 673550541.

1450553760 is a `hidden beast` number, since 1 + 45 + 0 + 553 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 not an unprimeable number, because it can be changed into a prime (1450553761) 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, 4664005 + ... + 4664315.

It is an arithmetic number, because the mean of its divisors is an integer number (17886960).

Almost surely, 2^1450553760 is an apocalyptic number.

1450553760 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 1450553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575722240).

1450553760 is an abundant number, since it is smaller than the sum of its proper divisors (3700890720).

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

1450553760 is a wasteful number, since it uses less digits than its factorization.

1450553760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 1450553760 is about 38086.1360602516. The cubic root of 1450553760 is about 1131.9952635828.

It can be divided in two parts, 14505 and 53760, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 1450553760 in words is "one billion, four hundred fifty million, five hundred fifty-three thousand, seven hundred sixty".