1434888400 has 120 divisors (see below), whose sum is σ = 3982137984. Its totient is φ = 491059200.

The previous prime is 1434888359. The next prime is 1434888401. The reversal of 1434888400 is 48884341.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434888401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65209 + ... + 84391.

Almost surely, 2^1434888400 is an apocalyptic number.

1434888400 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 1434888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991068992).

1434888400 is an abundant number, since it is smaller than the sum of its proper divisors (2547249584).

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

1434888400 is a wasteful number, since it uses less digits than its factorization.

1434888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19229 (or 19218 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 1434888400 is about 37879.9208024515. The cubic root of 1434888400 is about 1127.9054839238.

The spelling of 1434888400 in words is "one billion, four hundred thirty-four million, eight hundred eighty-eight thousand, four hundred".