1479133440 has 288 divisors, whose sum is σ = 5305896960. Its totient is φ = 390168576.

The previous prime is 1479133417. The next prime is 1479133459. The reversal of 1479133440 is 443319741.

1479133440 is a `hidden beast` number, since 14 + 79 + 133 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1479133395 and 1479133404.

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, 4388952 + ... + 4389288.

Almost surely, 2^1479133440 is an apocalyptic number.

1479133440 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 1479133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652948480).

1479133440 is an abundant number, since it is smaller than the sum of its proper divisors (3826763520).

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

1479133440 is a wasteful number, since it uses less digits than its factorization.

1479133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1479133440 is about 38459.5038969563. The cubic root of 1479133440 is about 1139.3813818206.

The spelling of 1479133440 in words is "one billion, four hundred seventy-nine million, one hundred thirty-three thousand, four hundred forty".