578877408 has 192 divisors, whose sum is σ = 1796256000. Its totient is φ = 180859392.

The previous prime is 578877329. The next prime is 578877457. The reversal of 578877408 is 804778875.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2938366 + ... + 2938562.

It is an arithmetic number, because the mean of its divisors is an integer number (9355500).

Almost surely, 2^578877408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578877408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898128000).

578877408 is an abundant number, since it is smaller than the sum of its proper divisors (1217378592).

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

578877408 is a wasteful number, since it uses less digits than its factorization.

578877408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The square root of 578877408 is about 24059.8713213517. The cubic root of 578877408 is about 833.4167030547.

The spelling of 578877408 in words is "five hundred seventy-eight million, eight hundred seventy-seven thousand, four hundred eight".