1424791872 has 168 divisors, whose sum is σ = 4716735296. Its totient is φ = 402776064.

The previous prime is 1424791847. The next prime is 1424791877. The reversal of 1424791872 is 2781974241.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424791877) 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 23 ways as a sum of consecutive naturals, for example, 389283 + ... + 392925.

Almost surely, 2^1424791872 is an apocalyptic number.

1424791872 is a gapful number since it is divisible by the number (12) 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 1424791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358367648).

1424791872 is an abundant number, since it is smaller than the sum of its proper divisors (3291943424).

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

1424791872 is a wasteful number, since it uses less digits than its factorization.

1424791872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3752 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 1424791872 is about 37746.4153529842. The cubic root of 1424791872 is about 1125.2537691227.

The spelling of 1424791872 in words is "one billion, four hundred twenty-four million, seven hundred ninety-one thousand, eight hundred seventy-two".