1424629440 has 252 divisors, whose sum is σ = 5307872544. Its totient is φ = 350558208.

The previous prime is 1424629439. The next prime is 1424629457. The reversal of 1424629440 is 449264241.

It is a happy number.

1424629440 is a `hidden beast` number, since 1 + 4 + 24 + 629 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1424629395 and 1424629404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 485257 + ... + 488183.

Almost surely, 2^1424629440 is an apocalyptic number.

1424629440 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 1424629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653936272).

1424629440 is an abundant number, since it is smaller than the sum of its proper divisors (3883243104).

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

1424629440 is a wasteful number, since it uses less digits than its factorization.

1424629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1424629440 is about 37744.2636701261. The cubic root of 1424629440 is about 1125.2110063468.

The spelling of 1424629440 in words is "one billion, four hundred twenty-four million, six hundred twenty-nine thousand, four hundred forty".