53454600 has 192 divisors, whose sum is σ = 194184000. Its totient is φ = 13478400.

The previous prime is 53454593. The next prime is 53454607. The reversal of 53454600 is 645435.

53454600 is a `hidden beast` number, since 5 + 3 + 4 + 54 + 600 = 666.

53454600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53454593) and next prime (53454607).

It is a super-2 number, since 2×53454600² = 5714788522320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53454607) by changing a digit.

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, 102340 + ... + 102860.

It is an arithmetic number, because the mean of its divisors is an integer number (1011375).

Almost surely, 2^53454600 is an apocalyptic number.

53454600 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 53454600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97092000).

53454600 is an abundant number, since it is smaller than the sum of its proper divisors (140729400).

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

53454600 is a wasteful number, since it uses less digits than its factorization.

53454600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 53454600 is about 7311.2652803738. The cubic root of 53454600 is about 376.6994863546.

The spelling of 53454600 in words is "fifty-three million, four hundred fifty-four thousand, six hundred".