1454664960 has 432 divisors, whose sum is σ = 6011812800. Its totient is φ = 332107776.

The previous prime is 1454664949. The next prime is 1454664973. The reversal of 1454664960 is 694664541.

It is a happy number.

1454664960 is a `hidden beast` number, since 1 + 4 + 546 + 6 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693011 + ... + 1693869.

Almost surely, 2^1454664960 is an apocalyptic number.

1454664960 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 1454664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005906400).

1454664960 is an abundant number, since it is smaller than the sum of its proper divisors (4557147840).

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

1454664960 is an equidigital number, since it uses as much as digits as its factorization.

1454664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 876 counting only the distinct ones).

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

The square root of 1454664960 is about 38140.0702673710. The cubic root of 1454664960 is about 1133.0636990237.

It can be divided in two parts, 145466 and 4960, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 1454664960 in words is "one billion, four hundred fifty-four million, six hundred sixty-four thousand, nine hundred sixty".