1434378400 has 576 divisors, whose sum is σ = 4882187520. Its totient is φ = 398131200.

The previous prime is 1434378389. The next prime is 1434378427. The reversal of 1434378400 is 48734341.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23514370 + ... + 23514430.

It is an arithmetic number, because the mean of its divisors is an integer number (8476020).

Almost surely, 2^1434378400 is an apocalyptic number.

1434378400 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 1434378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441093760).

1434378400 is an abundant number, since it is smaller than the sum of its proper divisors (3447809120).

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

1434378400 is a wasteful number, since it uses less digits than its factorization.

1434378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 1434378400 is about 37873.1884055198. The cubic root of 1434378400 is about 1127.7718382313.

The spelling of 1434378400 in words is "one billion, four hundred thirty-four million, three hundred seventy-eight thousand, four hundred".