1454114560 has 72 divisors (see below), whose sum is σ = 3494430576. Its totient is φ = 579747840.

The previous prime is 1454114483. The next prime is 1454114587. The reversal of 1454114560 is 654114541.

It is a super-2 number, since 2×1454114560² = 4228898307207987200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429675 + ... + 433045.

It is an arithmetic number, because the mean of its divisors is an integer number (48533758).

Almost surely, 2^1454114560 is an apocalyptic number.

1454114560 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 1454114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747215288).

1454114560 is an abundant number, since it is smaller than the sum of its proper divisors (2040316016).

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

1454114560 is an equidigital number, since it uses as much as digits as its factorization.

1454114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 1454114560 is about 38132.8540762424. The cubic root of 1454114560 is about 1132.9207756361.

The spelling of 1454114560 in words is "one billion, four hundred fifty-four million, one hundred fourteen thousand, five hundred sixty".