Search a number
488768774400 = 2834529712

488768774400 has 405 divisors, whose sum is σ = 1809063949693. Its totient is φ = 130204108800.

The previous prime is 488768774393. The next prime is 488768774407. The reversal of 488768774400 is 4477867884.

The square root of 488768774400 is 699120.

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

488768774400 is a `hidden beast` number, since 4 + 8 + 87 + 6 + 87 + 74 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (488768774393) and next prime (488768774407).

It can be written as a sum of positive squares in only one way, i.e., 175956758784 + 312812015616 = 419472^2 + 559296^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (488768774407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 503365915 + ... + 503366885.

Almost surely, 2488768774400 is an apocalyptic number.

488768774400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

488768774400 is the 699120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488768774400

488768774400 is an abundant number, since it is smaller than the sum of its proper divisors (1320295175293).

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

488768774400 is an frugal number, since it uses more digits than its factorization.

488768774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 488768774400 in words is "four hundred eighty-eight billion, seven hundred sixty-eight million, seven hundred seventy-four thousand, four hundred".