1424374400 has 96 divisors (see below), whose sum is σ = 3576822780. Its totient is φ = 560332800.

The previous prime is 1424374363. The next prime is 1424374409. The reversal of 1424374400 is 44734241.

It can be written as a sum of positive squares in 6 ways, for example, as 94167616 + 1330206784 = 9704^2 + 36472^2 .

It is not an unprimeable number, because it can be changed into a prime (1424374409) 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 11 ways as a sum of consecutive naturals, for example, 191552 + ... + 198848.

Almost surely, 2^1424374400 is an apocalyptic number.

1424374400 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 1424374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788411390).

1424374400 is an abundant number, since it is smaller than the sum of its proper divisors (2152448380).

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

1424374400 is an equidigital number, since it uses as much as digits as its factorization.

1424374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 1424374400 is about 37740.8849922733. The cubic root of 1424374400 is about 1125.1438565011.

The spelling of 1424374400 in words is "one billion, four hundred twenty-four million, three hundred seventy-four thousand, four hundred".