523042400 has 72 divisors (see below), whose sum is σ = 1352022840. Its totient is φ = 196904960.

The previous prime is 523042327. The next prime is 523042433. The reversal of 523042400 is 4240325.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5630 + ... + 32829.

It is an arithmetic number, because the mean of its divisors is an integer number (18778095).

Almost surely, 2^523042400 is an apocalyptic number.

523042400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

523042400 is an abundant number, since it is smaller than the sum of its proper divisors (828980440).

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

523042400 is a wasteful number, since it uses less digits than its factorization.

523042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38496 (or 38483 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 523042400 is about 22870.1202445462. The cubic root of 523042400 is about 805.7103922916.

Adding to 523042400 its reverse (4240325), we get a palindrome (527282725).

The spelling of 523042400 in words is "five hundred twenty-three million, forty-two thousand, four hundred".