960243206400 has 405 divisors, whose sum is σ = 3553067280763. Its totient is φ = 255876710400.

The previous prime is 960243206371. The next prime is 960243206443. The reversal of 960243206400 is 4602342069.

The square root of 960243206400 is 979920.

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

960243206400 is a `hidden beast` number, since 9 + 6 + 0 + 2 + 4 + 3 + 2 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 222678284544 + 737564921856 = 471888^2 + 858816^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 705541720 + ... + 705543080.

Almost surely, 2^960243206400 is an apocalyptic number.

960243206400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

960243206400 is the 979920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960243206400

960243206400 is an abundant number, since it is smaller than the sum of its proper divisors (2592824074363).

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

960243206400 is an frugal number, since it uses more digits than its factorization.

960243206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Multiplying 960243206400 by its sum of digits (36), we get a square (34568755430400 = 5879520²).

960243206400 divided by its sum of digits (36) gives a square (26673422400 = 163320²).

Adding to 960243206400 its reverse (4602342069), we get a palindrome (964845548469).

The spelling of 960243206400 in words is "nine hundred sixty billion, two hundred forty-three million, two hundred six thousand, four hundred".