1431434000 has 80 divisors (see below), whose sum is σ = 3664894896. Its totient is φ = 538880000.

The previous prime is 1431433999. The next prime is 1431434023. The reversal of 1431434000 is 4341341.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 134281744 + 1297152256 = 11588^2 + 36016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12950 + ... + 55050.

Almost surely, 2^1431434000 is an apocalyptic number.

1431434000 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 1431434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832447448).

1431434000 is an abundant number, since it is smaller than the sum of its proper divisors (2233460896).

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

1431434000 is a wasteful number, since it uses less digits than its factorization.

1431434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42141 (or 42125 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1431434000 is about 37834.2966103508. The cubic root of 1431434000 is about 1126.9996370446. Note that the first 3 decimals are identical.

Adding to 1431434000 its reverse (4341341), we get a palindrome (1435775341).

The spelling of 1431434000 in words is "one billion, four hundred thirty-one million, four hundred thirty-four thousand".