1434580056 has 288 divisors, whose sum is σ = 5029315200. Its totient is φ = 365783040.

The previous prime is 1434579977. The next prime is 1434580057. The reversal of 1434580056 is 6500854341.

It is a happy number.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1434580056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434580057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1421280 + ... + 1422288.

It is an arithmetic number, because the mean of its divisors is an integer number (17462900).

Almost surely, 2^1434580056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434580056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514657600).

1434580056 is an abundant number, since it is smaller than the sum of its proper divisors (3594735144).

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

1434580056 is a wasteful number, since it uses less digits than its factorization.

1434580056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1434580056 is about 37875.8505647068. The cubic root of 1434580056 is about 1127.8246860482.

The spelling of 1434580056 in words is "one billion, four hundred thirty-four million, five hundred eighty thousand, fifty-six".