1424838960 has 240 divisors, whose sum is σ = 5037177600. Its totient is φ = 360239616.

The previous prime is 1424838959. The next prime is 1424838973. The reversal of 1424838960 is 698384241.

It is a happy number.

1424838960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2301531 + ... + 2302149.

It is an arithmetic number, because the mean of its divisors is an integer number (20988240).

Almost surely, 2^1424838960 is an apocalyptic number.

1424838960 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 1424838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518588800).

1424838960 is an abundant number, since it is smaller than the sum of its proper divisors (3612338640).

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

1424838960 is a wasteful number, since it uses less digits than its factorization.

1424838960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1424838960 is about 37747.0390891789. The cubic root of 1424838960 is about 1125.2661651708.

The spelling of 1424838960 in words is "one billion, four hundred twenty-four million, eight hundred thirty-eight thousand, nine hundred sixty".