741200464900 has 189 divisors, whose sum is σ = 1883975993557. Its totient is φ = 253113420000.

The previous prime is 741200464897. The next prime is 741200464903. The reversal of 741200464900 is 9464002147.

It is a happy number.

The square root of 741200464900 is 860930.

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

It is an interprime number because it is at equal distance from previous prime (741200464897) and next prime (741200464903).

It can be written as a sum of positive squares in only one way, i.e., 266832167364 + 474368297536 = 516558^2 + 688744^2 .

It is a super-2 number, since 2×741200464900² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 741200464900.

It is not an unprimeable number, because it can be changed into a prime (741200464903) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2952989775 + ... + 2952990025.

Almost surely, 2^741200464900 is an apocalyptic number.

741200464900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

741200464900 is the 860930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 741200464900

741200464900 is an abundant number, since it is smaller than the sum of its proper divisors (1142775528657).

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

741200464900 is an frugal number, since it uses more digits than its factorization.

741200464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 741200464900 in words is "seven hundred forty-one billion, two hundred million, four hundred sixty-four thousand, nine hundred".