54950400 has 300 divisors, whose sum is σ = 207212742. Its totient is φ = 14376960.

The previous prime is 54950387. The next prime is 54950407. The reversal of 54950400 is 405945.

It can be written as a sum of positive squares in 3 ways, for example, as 45805824 + 9144576 = 6768^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (54950407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036774 + ... + 1036826.

Almost surely, 2^54950400 is an apocalyptic number.

54950400 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 54950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103606371).

54950400 is an abundant number, since it is smaller than the sum of its proper divisors (152262342).

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

54950400 is an equidigital number, since it uses as much as digits as its factorization.

54950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 54950400 is about 7412.8537015106. The cubic root of 54950400 is about 380.1808926381.

The spelling of 54950400 in words is "fifty-four million, nine hundred fifty thousand, four hundred".