479549600 has 144 divisors (see below), whose sum is σ = 1274402808. Its totient is φ = 175472640.

The previous prime is 479549593. The next prime is 479549611. The reversal of 479549600 is 6945974.

It can be written as a sum of positive squares in 12 ways, for example, as 145829776 + 333719824 = 12076^2 + 18268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502724 + ... + 503676.

Almost surely, 2^479549600 is an apocalyptic number.

479549600 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 479549600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637201404).

479549600 is an abundant number, since it is smaller than the sum of its proper divisors (794853208).

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

479549600 is a wasteful number, since it uses less digits than its factorization.

479549600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 479549600 is about 21898.6209611473. The cubic root of 479549600 is about 782.7285548753.

The spelling of 479549600 in words is "four hundred seventy-nine million, five hundred forty-nine thousand, six hundred".