234817776400 has 45 divisors (see below), whose sum is σ = 564172992831. Its totient is φ = 93923233920.

The previous prime is 234817776371. The next prime is 234817776421. The reversal of 234817776400 is 4677718432.

It is a happy number.

The square root of 234817776400 is 484580.

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

234817776400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72582825744 + 162234950656 = 269412^2 + 402784^2 .

It is a super-2 number, since 2×234817776400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9679486 + ... + 9703714.

Almost surely, 2^234817776400 is an apocalyptic number.

234817776400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

234817776400 is the 484580-th square number.

It is an amenable number.

234817776400 is an abundant number, since it is smaller than the sum of its proper divisors (329355216431).

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

234817776400 is an frugal number, since it uses more digits than its factorization.

234817776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48476 (or 24236 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 49.

Multiplying 234817776400 by its sum of digits (49), we get a square (11506071043600 = 3392060²).

The spelling of 234817776400 in words is "two hundred thirty-four billion, eight hundred seventeen million, seven hundred seventy-six thousand, four hundred".