54140400 has 180 divisors, whose sum is σ = 195190632. Its totient is φ = 14411520.

The previous prime is 54140399. The next prime is 54140407. The reversal of 54140400 is 404145.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54140407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96922 + ... + 97478.

Almost surely, 2^54140400 is an apocalyptic number.

54140400 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 54140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97595316).

54140400 is an abundant number, since it is smaller than the sum of its proper divisors (141050232).

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

54140400 is a wasteful number, since it uses less digits than its factorization.

54140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54140400 is about 7358.0160369491. The cubic root of 54140400 is about 378.3036109486.

Adding to 54140400 its reverse (404145), we get a palindrome (54544545).

The spelling of 54140400 in words is "fifty-four million, one hundred forty thousand, four hundred".