5415242400 has 108 divisors (see below), whose sum is σ = 19095523902. Its totient is φ = 1444062720.

The previous prime is 5415242363. The next prime is 5415242401. The reversal of 5415242400 is 42425145.

5415242400 is a `hidden beast` number, since 5 + 4 + 15 + 242 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4889365776 + 525876624 = 69924^2 + 22932^2 .

It is not an unprimeable number, because it can be changed into a prime (5415242401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 368859 + ... + 383258.

Almost surely, 2^5415242400 is an apocalyptic number.

5415242400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5415242400 is an abundant number, since it is smaller than the sum of its proper divisors (13680281502).

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

5415242400 is a wasteful number, since it uses less digits than its factorization.

5415242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752143 (or 752127 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5415242400 is about 73588.3305966374. The cubic root of 5415242400 is about 1756.0597977087.

Adding to 5415242400 its reverse (42425145), we get a palindrome (5457667545).

The spelling of 5415242400 in words is "five billion, four hundred fifteen million, two hundred forty-two thousand, four hundred".