1434516480 has 264 divisors, whose sum is σ = 5159127792. Its totient is φ = 382205952.

The previous prime is 1434516449. The next prime is 1434516481. The reversal of 1434516480 is 846154341.

1434516480 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 5 + 1 + 648 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434516481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1243584 + ... + 1244736.

Almost surely, 2^1434516480 is an apocalyptic number.

1434516480 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 1434516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579563896).

1434516480 is an abundant number, since it is smaller than the sum of its proper divisors (3724611312).

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

1434516480 is an equidigital number, since it uses as much as digits as its factorization.

1434516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1434516480 is about 37875.0112871270. The cubic root of 1434516480 is about 1127.8080252744.

The spelling of 1434516480 in words is "one billion, four hundred thirty-four million, five hundred sixteen thousand, four hundred eighty".