576150400 has 288 divisors, whose sum is σ = 1747321200. Its totient is φ = 183828480.

The previous prime is 576150373. The next prime is 576150401. The reversal of 576150400 is 4051675.

576150400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576150401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6473556 + ... + 6473644.

Almost surely, 2^576150400 is an apocalyptic number.

576150400 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 576150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873660600).

576150400 is an abundant number, since it is smaller than the sum of its proper divisors (1171170800).

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

576150400 is a wasteful number, since it uses less digits than its factorization.

576150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 576150400 is about 24003.1331288230. The cubic root of 576150400 is about 832.1059406517.

The spelling of 576150400 in words is "five hundred seventy-six million, one hundred fifty thousand, four hundred".