1424442400 has 72 divisors (see below), whose sum is σ = 3482683344. Its totient is φ = 568915200.

The previous prime is 1424442373. The next prime is 1424442421. The reversal of 1424442400 is 42444241.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 929635 + ... + 931165.

It is an arithmetic number, because the mean of its divisors is an integer number (48370602).

Almost surely, 2^1424442400 is an apocalyptic number.

1424442400 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 1424442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741341672).

1424442400 is an abundant number, since it is smaller than the sum of its proper divisors (2058240944).

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

1424442400 is a wasteful number, since it uses less digits than its factorization.

1424442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 1424442400 is about 37741.7858612970. The cubic root of 1424442400 is about 1125.1617611018.

Adding to 1424442400 its reverse (42444241), we get a palindrome (1466886641).

It can be divided in two parts, 14244 and 42400, that added together give a square (56644 = 238²).

The spelling of 1424442400 in words is "one billion, four hundred twenty-four million, four hundred forty-two thousand, four hundred".