54465400 has 96 divisors (see below), whose sum is σ = 145526400. Its totient is φ = 18748800.

The previous prime is 54465379. The next prime is 54465407. The reversal of 54465400 is 456445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54465407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41149 + ... + 42451.

It is an arithmetic number, because the mean of its divisors is an integer number (1515900).

Almost surely, 2^54465400 is an apocalyptic number.

54465400 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 54465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72763200).

54465400 is an abundant number, since it is smaller than the sum of its proper divisors (91061000).

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

54465400 is a wasteful number, since it uses less digits than its factorization.

54465400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 54465400 is about 7380.0677503665. The cubic root of 54465400 is about 379.0590755930.

The spelling of 54465400 in words is "fifty-four million, four hundred sixty-five thousand, four hundred".