5382906400 has 72 divisors (see below), whose sum is σ = 13461614964. Its totient is φ = 2100633600.

The previous prime is 5382906391. The next prime is 5382906413. The reversal of 5382906400 is 46092835.

It can be written as a sum of positive squares in 6 ways, for example, as 904084624 + 4478821776 = 30068^2 + 66924^2 .

It is a super-2 number, since 2×5382906400² = 57951362622321920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5382906400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49257 + ... + 114856.

Almost surely, 2^5382906400 is an apocalyptic number.

5382906400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5382906400 is an abundant number, since it is smaller than the sum of its proper divisors (8078708564).

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

5382906400 is a wasteful number, since it uses less digits than its factorization.

5382906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164174 (or 164161 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 5382906400 is about 73368.2928791450. The cubic root of 5382906400 is about 1752.5575013879.

The spelling of 5382906400 in words is "five billion, three hundred eighty-two million, nine hundred six thousand, four hundred".