53424000 has 384 divisors, whose sum is σ = 223404480. Its totient is φ = 11980800.

The previous prime is 53423999. The next prime is 53424023. The reversal of 53424000 is 42435.

It is a happy number.

53424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1007974 + ... + 1008026.

Almost surely, 2^53424000 is an apocalyptic number.

53424000 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 53424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111702240).

53424000 is an abundant number, since it is smaller than the sum of its proper divisors (169980480).

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

53424000 is a wasteful number, since it uses less digits than its factorization.

53424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 53424000 is about 7309.1723197637. The cubic root of 53424000 is about 376.6275922955.

Adding to 53424000 its reverse (42435), we get a palindrome (53466435).

The spelling of 53424000 in words is "fifty-three million, four hundred twenty-four thousand".