2464900 has 27 divisors (see below), whose sum is σ = 5383119. Its totient is φ = 979680.

The previous prime is 2464897. The next prime is 2464901. The reversal of 2464900 is 94642.

2464900 = T₄₆ + T₄₇ + ... + T₂₄₅.

The square root of 2464900 is 1570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 298116 + 2166784 = 546^2 + 1472^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2464901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15622 + ... + 15778.

2^2464900 is an apocalyptic number.

2464900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2464900 is the 1570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2464900

2464900 is an abundant number, since it is smaller than the sum of its proper divisors (2918219).

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

2464900 is a wasteful number, since it uses less digits than its factorization.

2464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The cubic root of 2464900 is about 135.0827110888.

Multiplying 2464900 by its sum of digits (25), we get a square (61622500 = 7850²).

2464900 divided by its sum of digits (25) gives a square (98596 = 314²).

It can be divided in two parts, 2464 and 900, that added together give a square (3364 = 58²).

The spelling of 2464900 in words is "two million, four hundred sixty-four thousand, nine hundred".