578492400 has 120 divisors (see below), whose sum is σ = 1861956720. Its totient is φ = 153528320.

The previous prime is 578492399. The next prime is 578492401. The reversal of 578492400 is 4294875.

It is an interprime number because it is at equal distance from previous prime (578492399) and next prime (578492401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578492401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278566 + ... + 280634.

It is an arithmetic number, because the mean of its divisors is an integer number (15516306).

Almost surely, 2^578492400 is an apocalyptic number.

578492400 is a gapful number since it is divisible by the number (50) 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 578492400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930978360).

578492400 is an abundant number, since it is smaller than the sum of its proper divisors (1283464320).

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

578492400 is a wasteful number, since it uses less digits than its factorization.

578492400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 578492400 is about 24051.8689502500. The cubic root of 578492400 is about 833.2318952084.

The spelling of 578492400 in words is "five hundred seventy-eight million, four hundred ninety-two thousand, four hundred".