1434875904 has 384 divisors, whose sum is σ = 5314982400. Its totient is φ = 371589120.

The previous prime is 1434875899. The next prime is 1434875917. The reversal of 1434875904 is 4095784341.

1434875904 is a `hidden beast` number, since 14 + 3 + 48 + 7 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1434875904.

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 31 ways as a sum of consecutive naturals, for example, 4257624 + ... + 4257960.

It is an arithmetic number, because the mean of its divisors is an integer number (13841100).

Almost surely, 2^1434875904 is an apocalyptic number.

1434875904 is a gapful number since it is divisible by the number (14) 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 1434875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657491200).

1434875904 is an abundant number, since it is smaller than the sum of its proper divisors (3880106496).

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

1434875904 is a wasteful number, since it uses less digits than its factorization.

1434875904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1434875904 is about 37879.7558598257. The cubic root of 1434875904 is about 1127.9022097207.

The spelling of 1434875904 in words is "one billion, four hundred thirty-four million, eight hundred seventy-five thousand, nine hundred four".