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1424424960 = 216335723

1424424960 has 544 divisors, whose sum is σ = 6039751680. Its totient is φ = 311427072.

The previous prime is 1424424959. The next prime is 1424424977. The reversal of 1424424960 is 694244241.

It is a happy number.

1424424960 is a `hidden beast` number, since 142 + 4 + 424 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61931509 + ... + 61931531.

Almost surely, 21424424960 is an apocalyptic number.

1424424960 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 1424424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019875840).

1424424960 is an abundant number, since it is smaller than the sum of its proper divisors (4615326720).

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

1424424960 is an frugal number, since it uses more digits than its factorization.

1424424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

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

The square root of 1424424960 is about 37741.5548169388. The cubic root of 1424424960 is about 1125.1571691526.

It can be divided in two parts, 14244 and 24960, that added together give a square (39204 = 1982).

The spelling of 1424424960 in words is "one billion, four hundred twenty-four million, four hundred twenty-four thousand, nine hundred sixty".