1479656160 has 288 divisors, whose sum is σ = 5514687360. Its totient is φ = 373621248.

The previous prime is 1479656131. The next prime is 1479656177. The reversal of 1479656160 is 616569741.

1479656160 is a `hidden beast` number, since 1 + 479 + 65 + 61 + 60 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 737719 + ... + 739721.

It is an arithmetic number, because the mean of its divisors is an integer number (19148220).

Almost surely, 2^1479656160 is an apocalyptic number.

1479656160 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 1479656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757343680).

1479656160 is an abundant number, since it is smaller than the sum of its proper divisors (4035031200).

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

1479656160 is a wasteful number, since it uses less digits than its factorization.

1479656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1479656160 is about 38466.2990161518. The cubic root of 1479656160 is about 1139.5155836614.

The spelling of 1479656160 in words is "one billion, four hundred seventy-nine million, six hundred fifty-six thousand, one hundred sixty".