479450400 has 432 divisors, whose sum is σ = 1861880832. Its totient is φ = 106444800.

The previous prime is 479450399. The next prime is 479450429. The reversal of 479450400 is 4054974.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3775137 + ... + 3775263.

Almost surely, 2^479450400 is an apocalyptic number.

479450400 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 479450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930940416).

479450400 is an abundant number, since it is smaller than the sum of its proper divisors (1382430432).

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

479450400 is a wasteful number, since it uses less digits than its factorization.

479450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 479450400 is about 21896.3558611930. The cubic root of 479450400 is about 782.6745792092.

The spelling of 479450400 in words is "four hundred seventy-nine million, four hundred fifty thousand, four hundred".