479136 has 96 divisors (see below), whose sum is σ = 1548288. Its totient is φ = 126720.

The previous prime is 479131. The next prime is 479137. The reversal of 479136 is 631974.

479136 = 109² + 110² + ... + 139².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 479136.

It is not an unprimeable number, because it can be changed into a prime (479131) by changing a digit.

479136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15441 + ... + 15471.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2⁴⁷⁹¹³⁶ is an apocalyptic number.

479136 is a gapful number since it is divisible by the number (46) 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 479136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774144).

479136 is an abundant number, since it is smaller than the sum of its proper divisors (1069152).

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

479136 is a wasteful number, since it uses less digits than its factorization.

479136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 66 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 479136 is about 692.1965038918. The cubic root of 479136 is about 78.2503461964.

The spelling of 479136 in words is "four hundred seventy-nine thousand, one hundred thirty-six".