1434761856 has 384 divisors, whose sum is σ = 4818643200. Its totient is φ = 419696640.

The previous prime is 1434761851. The next prime is 1434761879. The reversal of 1434761856 is 6581674341.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434761851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19654236 + ... + 19654308.

It is an arithmetic number, because the mean of its divisors is an integer number (12548550).

Almost surely, 2^1434761856 is an apocalyptic number.

1434761856 is a gapful number since it is divisible by the number (16) 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 1434761856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409321600).

1434761856 is an abundant number, since it is smaller than the sum of its proper divisors (3383881344).

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

1434761856 is a wasteful number, since it uses less digits than its factorization.

1434761856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

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

The square root of 1434761856 is about 37878.2504347812. The cubic root of 1434761856 is about 1127.8723259751.

The spelling of 1434761856 in words is "one billion, four hundred thirty-four million, seven hundred sixty-one thousand, eight hundred fifty-six".