576374400 has 384 divisors, whose sum is σ = 2413238400. Its totient is φ = 131604480.

The previous prime is 576374389. The next prime is 576374423. The reversal of 576374400 is 4473675.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604324 + ... + 605276.

It is an arithmetic number, because the mean of its divisors is an integer number (6284475).

Almost surely, 2^576374400 is an apocalyptic number.

576374400 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 576374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206619200).

576374400 is an abundant number, since it is smaller than the sum of its proper divisors (1836864000).

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

576374400 is a wasteful number, since it uses less digits than its factorization.

576374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 576374400 is about 24007.7987329118. The cubic root of 576374400 is about 832.2137641068.

The spelling of 576374400 in words is "five hundred seventy-six million, three hundred seventy-four thousand, four hundred".