5460900 has 72 divisors (see below), whose sum is σ = 16040640. Its totient is φ = 1434240.

The previous prime is 5460899. The next prime is 5460901. The reversal of 5460900 is 90645.

It is an interprime number because it is at equal distance from previous prime (5460899) and next prime (5460901).

It is not an unprimeable number, because it can be changed into a prime (5460901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32617 + ... + 32783.

Almost surely, 2^5460900 is an apocalyptic number.

5460900 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 5460900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020320).

5460900 is an abundant number, since it is smaller than the sum of its proper divisors (10579740).

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

5460900 is a wasteful number, since it uses less digits than its factorization.

5460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5460900 is about 2336.8568633958. The cubic root of 5460900 is about 176.0981288180.

The spelling of 5460900 in words is "five million, four hundred sixty thousand, nine hundred".