56454900 has 72 divisors (see below), whose sum is σ = 164260320. Its totient is φ = 14970240.

The previous prime is 56454899. The next prime is 56454953. The reversal of 56454900 is 945465.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67686 + ... + 68514.

Almost surely, 2^56454900 is an apocalyptic number.

56454900 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 56454900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82130160).

56454900 is an abundant number, since it is smaller than the sum of its proper divisors (107805420).

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

56454900 is a wasteful number, since it uses less digits than its factorization.

56454900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56454900 is about 7513.6475828987. The cubic root of 56454900 is about 383.6193874095.

The spelling of 56454900 in words is "fifty-six million, four hundred fifty-four thousand, nine hundred".