1434307680 has 288 divisors, whose sum is σ = 5582382624. Its totient is φ = 332218368.

The previous prime is 1434307661. The next prime is 1434307729. The reversal of 1434307680 is 867034341.

1434307680 is a `hidden beast` number, since 143 + 430 + 7 + 6 + 80 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 315987 + ... + 320493.

It is an arithmetic number, because the mean of its divisors is an integer number (19383273).

Almost surely, 2^1434307680 is an apocalyptic number.

1434307680 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 1434307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791191312).

1434307680 is an abundant number, since it is smaller than the sum of its proper divisors (4148074944).

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

1434307680 is a wasteful number, since it uses less digits than its factorization.

1434307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1434307680 is about 37872.2547519949. The cubic root of 1434307680 is about 1127.7533035278.

The spelling of 1434307680 in words is "one billion, four hundred thirty-four million, three hundred seven thousand, six hundred eighty".