54450900 has 288 divisors, whose sum is σ = 207764480. Its totient is φ = 11975040.

The previous prime is 54450899. The next prime is 54450931. The reversal of 54450900 is 905445.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 812667 + ... + 812733.

Almost surely, 2^54450900 is an apocalyptic number.

54450900 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 54450900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103882240).

54450900 is an abundant number, since it is smaller than the sum of its proper divisors (153313580).

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

54450900 is a wasteful number, since it uses less digits than its factorization.

54450900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

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

The square root of 54450900 is about 7379.0853091694. The cubic root of 54450900 is about 379.0254343919.

The spelling of 54450900 in words is "fifty-four million, four hundred fifty thousand, nine hundred".