55461000 has 256 divisors, whose sum is σ = 209664000. Its totient is φ = 11923200.

The previous prime is 55460969. The next prime is 55461001. The reversal of 55461000 is 16455.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (55461001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398931 + ... + 399069.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 2^55461000 is an apocalyptic number.

55461000 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 55461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832000).

55461000 is an abundant number, since it is smaller than the sum of its proper divisors (154203000).

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

55461000 is a wasteful number, since it uses less digits than its factorization.

55461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 55461000 is about 7447.2142442661. The cubic root of 55461000 is about 381.3548130706.

Adding to 55461000 its reverse (16455), we get a palindrome (55477455).

The spelling of 55461000 in words is "fifty-five million, four hundred sixty-one thousand".