54526400 has 84 divisors (see below), whose sum is σ = 136913112. Its totient is φ = 21365760.

The previous prime is 54526397. The next prime is 54526403. The reversal of 54526400 is 462545.

It is an interprime number because it is at equal distance from previous prime (54526397) and next prime (54526403).

It is a self number, because there is not a number n which added to its sum of digits gives 54526400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54526403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84479 + ... + 85121.

It is an arithmetic number, because the mean of its divisors is an integer number (1629918).

Almost surely, 2^54526400 is an apocalyptic number.

54526400 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 54526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68456556).

54526400 is an abundant number, since it is smaller than the sum of its proper divisors (82386712).

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

54526400 is a wasteful number, since it uses less digits than its factorization.

54526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 54526400 is about 7384.1993472549. The cubic root of 54526400 is about 379.2005352886.

Adding to 54526400 its reverse (462545), we get a palindrome (54988945).

The spelling of 54526400 in words is "fifty-four million, five hundred twenty-six thousand, four hundred".