606144400 has 45 divisors (see below), whose sum is σ = 1457445873. Its totient is φ = 242260800.

The previous prime is 606144353. The next prime is 606144437. The reversal of 606144400 is 4441606.

The square root of 606144400 is 24620.

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

It can be written as a sum of positive squares in only one way, i.e., 218211984 + 387932416 = 14772^2 + 19696^2 .

It is a super-2 number, since 2×606144400² = 734822067302720000, which contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 491785 + ... + 493015.

Almost surely, 2^606144400 is an apocalyptic number.

606144400 is the 24620-th square number.

It is an amenable number.

606144400 is an abundant number, since it is smaller than the sum of its proper divisors (851301473).

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

606144400 is an equidigital number, since it uses as much as digits as its factorization.

606144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The cubic root of 606144400 is about 846.3019971148.

Multiplying 606144400 by its sum of digits (25), we get a square (15153610000 = 123100²).

606144400 divided by its sum of digits (25) gives a square (24245776 = 4924²).

Multiplying 606144400 by its product of nonzero digits (2304), we get a square (1396556697600 = 1181760²).

It can be divided in two parts, 6061 and 44400, that multiplied together give a triangular number (269108400 = T₂₃₁₉₉).

The spelling of 606144400 in words is "six hundred six million, one hundred forty-four thousand, four hundred".