54212400 has 270 divisors, whose sum is σ = 210931812. Its totient is φ = 12787200.

The previous prime is 54212399. The next prime is 54212401. The reversal of 54212400 is 421245.

54212400 is a `hidden beast` number, since 5 + 421 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54212399) and next prime (54212401).

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

It is not an unprimeable number, because it can be changed into a prime (54212401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1465182 + ... + 1465218.

Almost surely, 2^54212400 is an apocalyptic number.

54212400 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 54212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105465906).

54212400 is an abundant number, since it is smaller than the sum of its proper divisors (156719412).

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

54212400 is a wasteful number, since it uses less digits than its factorization.

54212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 58 counting only the distinct ones).

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

The square root of 54212400 is about 7362.9070345890. The cubic root of 54212400 is about 378.4712355849.

Adding to 54212400 its reverse (421245), we get a palindrome (54633645).

The spelling of 54212400 in words is "fifty-four million, two hundred twelve thousand, four hundred".