1479024144 has 320 divisors, whose sum is σ = 4899686400. Its totient is φ = 423387648.

The previous prime is 1479024133. The next prime is 1479024149. The reversal of 1479024144 is 4414209741.

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 = 1479024099 and 1479024108.

It is not an unprimeable number, because it can be changed into a prime (1479024149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8856349 + ... + 8856515.

It is an arithmetic number, because the mean of its divisors is an integer number (15311520).

Almost surely, 2^1479024144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1479024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449843200).

1479024144 is an abundant number, since it is smaller than the sum of its proper divisors (3420662256).

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

1479024144 is a wasteful number, since it uses less digits than its factorization.

1479024144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1479024144 is about 38458.0829475417. The cubic root of 1479024144 is about 1139.3533174392.

The spelling of 1479024144 in words is "one billion, four hundred seventy-nine million, twenty-four thousand, one hundred forty-four".