2456900 has 36 divisors (see below), whose sum is σ = 5416320. Its totient is φ = 967200.

The previous prime is 2456879. The next prime is 2456917. The reversal of 2456900 is 96542.

2456900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2456900² = 12072715220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2456900.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7745 + ... + 8055.

2^2456900 is an apocalyptic number.

2456900 is a gapful number since it is divisible by the number (20) 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 2456900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708160).

2456900 is an abundant number, since it is smaller than the sum of its proper divisors (2959420).

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

2456900 is a wasteful number, since it uses less digits than its factorization.

2456900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2456900 is about 1567.4501586972. The cubic root of 2456900 is about 134.9364126694.

The spelling of 2456900 in words is "two million, four hundred fifty-six thousand, nine hundred".