1424407680 has 448 divisors, whose sum is σ = 5297814720. Its totient is φ = 365783040.

The previous prime is 1424407669. The next prime is 1424407693. The reversal of 1424407680 is 867044241.

1424407680 is a `hidden beast` number, since 142 + 440 + 76 + 8 + 0 = 666.

It is a super-3 number, since 3×1424407680³ (a number of 28 digits) contains 333 as substring.

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 55 ways as a sum of consecutive naturals, for example, 20062045 + ... + 20062115.

Almost surely, 2^1424407680 is an apocalyptic number.

1424407680 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 1424407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648907360).

1424407680 is an abundant number, since it is smaller than the sum of its proper divisors (3873407040).

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

1424407680 is an frugal number, since it uses more digits than its factorization.

1424407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1424407680 is about 37741.3258908587. The cubic root of 1424407680 is about 1125.1526192945.

The spelling of 1424407680 in words is "one billion, four hundred twenty-four million, four hundred seven thousand, six hundred eighty".