479400768 has 280 divisors, whose sum is σ = 1773228864. Its totient is φ = 124416000.

The previous prime is 479400739. The next prime is 479400781. The reversal of 479400768 is 867004974.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 398568 + ... + 399768.

Almost surely, 2^479400768 is an apocalyptic number.

479400768 is a gapful number since it is divisible by the number (48) 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 479400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886614432).

479400768 is an abundant number, since it is smaller than the sum of its proper divisors (1293828096).

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

479400768 is a wasteful number, since it uses less digits than its factorization.

479400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 479400768 is about 21895.2224925896. Note that the first 3 decimals coincide. The cubic root of 479400768 is about 782.6475711703.

The spelling of 479400768 in words is "four hundred seventy-nine million, four hundred thousand, seven hundred sixty-eight".