54465700 has 36 divisors (see below), whose sum is σ = 119006272. Its totient is φ = 21636000.

The previous prime is 54465689. The next prime is 54465701. The reversal of 54465700 is 756445.

54465700 = 1464² + 1465² + ... + 1488².

It is a happy number.

54465700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54465701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13297 + ... + 16903.

Almost surely, 2^54465700 is an apocalyptic number.

54465700 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 54465700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59503136).

54465700 is an abundant number, since it is smaller than the sum of its proper divisors (64540572).

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

54465700 is a wasteful number, since it uses less digits than its factorization.

54465700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 54465700 is about 7380.0880753552. The cubic root of 54465700 is about 379.0597715548.

The spelling of 54465700 in words is "fifty-four million, four hundred sixty-five thousand, seven hundred".