245738318400 has 819 divisors, whose sum is σ = 963495817099. Its totient is φ = 61675499520.

The previous prime is 245738318387. The next prime is 245738318407. The reversal of 245738318400 is 4813837542.

The square root of 245738318400 is 495720.

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

245738318400 is a `hidden beast` number, since 2 + 4 + 573 + 8 + 31 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5748065856 + 239990252544 = 75816^2 + 489888^2 .

It is a super-2 number, since 2×245738318400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (245738318407) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 14455195192 + ... + 14455195208.

Almost surely, 2^245738318400 is an apocalyptic number.

245738318400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

245738318400 is the 495720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245738318400

245738318400 is an abundant number, since it is smaller than the sum of its proper divisors (717757498699).

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

245738318400 is an frugal number, since it uses more digits than its factorization.

245738318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 245738318400 in words is "two hundred forty-five billion, seven hundred thirty-eight million, three hundred eighteen thousand, four hundred".