48365294400 has 420 divisors, whose sum is σ = 178986271948. Its totient is φ = 12809871360.

The previous prime is 48365294381. The next prime is 48365294479. The reversal of 48365294400 is 449256384.

48365294400 is a `hidden beast` number, since 4 + 83 + 6 + 529 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4255213824 + 44110080576 = 65232^2 + 210024^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20346012 + ... + 20348388.

Almost surely, 2^48365294400 is an apocalyptic number.

48365294400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48365294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89493135974).

48365294400 is an abundant number, since it is smaller than the sum of its proper divisors (130620977548).

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

48365294400 is a wasteful number, since it uses less digits than its factorization.

48365294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 48365294400 in words is "forty-eight billion, three hundred sixty-five million, two hundred ninety-four thousand, four hundred".