53456700 has 144 divisors (see below), whose sum is σ = 171489024. Its totient is φ = 12748800.

The previous prime is 53456699. The next prime is 53456723. The reversal of 53456700 is 765435.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320017 + ... + 320183.

It is an arithmetic number, because the mean of its divisors is an integer number (1190896).

Almost surely, 2^53456700 is an apocalyptic number.

53456700 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 53456700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85744512).

53456700 is an abundant number, since it is smaller than the sum of its proper divisors (118032324).

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

53456700 is a wasteful number, since it uses less digits than its factorization.

53456700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 53456700 is about 7311.4088929563. The cubic root of 53456700 is about 376.7044192544.

The spelling of 53456700 in words is "fifty-three million, four hundred fifty-six thousand, seven hundred".