54495900 has 108 divisors (see below), whose sum is σ = 172374384. Its totient is φ = 14400000.

The previous prime is 54495899. The next prime is 54495907. The reversal of 54495900 is 959445.

54495900 = 150² + 151² + ... + 550².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54495907) 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, 135700 + ... + 136100.

Almost surely, 2^54495900 is an apocalyptic number.

54495900 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 54495900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86187192).

54495900 is an abundant number, since it is smaller than the sum of its proper divisors (117878484).

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

54495900 is a wasteful number, since it uses less digits than its factorization.

54495900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 54495900 is about 7382.1338378547. The cubic root of 54495900 is about 379.1298186360.

The spelling of 54495900 in words is "fifty-four million, four hundred ninety-five thousand, nine hundred".