4479413400 has 1152 divisors, whose sum is σ = 20864736000. Its totient is φ = 881798400.

The previous prime is 4479413387. The next prime is 4479413429. The reversal of 4479413400 is 43149744.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 235758591 + ... + 235758609.

It is an arithmetic number, because the mean of its divisors is an integer number (18111750).

Almost surely, 2^4479413400 is an apocalyptic number.

4479413400 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 4479413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432368000).

4479413400 is an abundant number, since it is smaller than the sum of its proper divisors (16385322600).

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

4479413400 is a wasteful number, since it uses less digits than its factorization.

4479413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

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

The square root of 4479413400 is about 66928.4199723854. The cubic root of 4479413400 is about 1648.4421660103.

The spelling of 4479413400 in words is "four billion, four hundred seventy-nine million, four hundred thirteen thousand, four hundred".