479442600 has 288 divisors, whose sum is σ = 1982373120. Its totient is φ = 101122560.

The previous prime is 479442583. The next prime is 479442617. The reversal of 479442600 is 6244974.

479442600 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 42 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (479442583) and next prime (479442617).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 162337 + ... + 165263.

It is an arithmetic number, because the mean of its divisors is an integer number (6883240).

Almost surely, 2^479442600 is an apocalyptic number.

479442600 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 479442600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991186560).

479442600 is an abundant number, since it is smaller than the sum of its proper divisors (1502930520).

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

479442600 is a wasteful number, since it uses less digits than its factorization.

479442600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 479442600 is about 21896.1777486391. The cubic root of 479442600 is about 782.6703348391.

The spelling of 479442600 in words is "four hundred seventy-nine million, four hundred forty-two thousand, six hundred".