579400416 has 288 divisors, whose sum is σ = 1985937408. Its totient is φ = 156764160.

The previous prime is 579400411. The next prime is 579400417. The reversal of 579400416 is 614004975.

579400416 is a `hidden beast` number, since 579 + 40 + 0 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579400411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4562145 + ... + 4562271.

It is an arithmetic number, because the mean of its divisors is an integer number (6895616).

Almost surely, 2^579400416 is an apocalyptic number.

579400416 is a gapful number since it is divisible by the number (56) 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 579400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992968704).

579400416 is an abundant number, since it is smaller than the sum of its proper divisors (1406536992).

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

579400416 is a wasteful number, since it uses less digits than its factorization.

579400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 579400416 is about 24070.7377535463. The cubic root of 579400416 is about 833.6676211196.

The spelling of 579400416 in words is "five hundred seventy-nine million, four hundred thousand, four hundred sixteen".