479694240 has 288 divisors, whose sum is σ = 1715890176. Its totient is φ = 121927680.

The previous prime is 479694239. The next prime is 479694263. The reversal of 479694240 is 42496974.

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, 3777057 + ... + 3777183.

It is an arithmetic number, because the mean of its divisors is an integer number (5957952).

Almost surely, 2^479694240 is an apocalyptic number.

479694240 is a gapful number since it is divisible by the number (40) 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 479694240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857945088).

479694240 is an abundant number, since it is smaller than the sum of its proper divisors (1236195936).

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

479694240 is a wasteful number, since it uses less digits than its factorization.

479694240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 479694240 is about 21901.9232032258. The cubic root of 479694240 is about 782.8072415414.

The spelling of 479694240 in words is "four hundred seventy-nine million, six hundred ninety-four thousand, two hundred forty".