1479506040 has 128 divisors (see below), whose sum is σ = 4942080000. Its totient is φ = 393704064.

The previous prime is 1479505999. The next prime is 1479506057. The reversal of 1479506040 is 406059741.

1479506040 is a `hidden beast` number, since 1 + 47 + 9 + 5 + 0 + 604 + 0 = 666.

1479506040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1479505986 and 1479506004.

It is a congruent number.

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, 645777 + ... + 648063.

It is an arithmetic number, because the mean of its divisors is an integer number (38610000).

Almost surely, 2^1479506040 is an apocalyptic number.

1479506040 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 1479506040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471040000).

1479506040 is an abundant number, since it is smaller than the sum of its proper divisors (3462573960).

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

1479506040 is a wasteful number, since it uses less digits than its factorization.

1479506040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1479506040 is about 38464.3476481793. The cubic root of 1479506040 is about 1139.4770454592.

The spelling of 1479506040 in words is "one billion, four hundred seventy-nine million, five hundred six thousand, forty".