576242400 has 72 divisors (see below), whose sum is σ = 1875676824. Its totient is φ = 153664000.

The previous prime is 576242369. The next prime is 576242423. The reversal of 576242400 is 4242675.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 117651 + ... + 122450.

It is an arithmetic number, because the mean of its divisors is an integer number (26051067).

Almost surely, 2^576242400 is an apocalyptic number.

576242400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

576242400 is an abundant number, since it is smaller than the sum of its proper divisors (1299434424).

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

576242400 is a wasteful number, since it uses less digits than its factorization.

576242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240124 (or 240111 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 576242400 is about 24005.0494688097. The cubic root of 576242400 is about 832.1502286665.

It can be divided in two parts, 57624 and 2400, that multiplied together give a square (138297600 = 11760²).

The spelling of 576242400 in words is "five hundred seventy-six million, two hundred forty-two thousand, four hundred".