5482630400 has 324 divisors, whose sum is σ = 15201847332. Its totient is φ = 1955266560.

The previous prime is 5482630397. The next prime is 5482630403. The reversal of 5482630400 is 40362845.

It is an interprime number because it is at equal distance from previous prime (5482630397) and next prime (5482630403).

It can be written as a sum of positive squares in 18 ways, for example, as 4108297216 + 1374333184 = 64096^2 + 37072^2 .

It is a super-2 number, since 2×5482630400² = 60118472206008320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5482630403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40019132 + ... + 40019268.

Almost surely, 2^5482630400 is an apocalyptic number.

5482630400 is a gapful number since it is divisible by the number (50) 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 5482630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600923666).

5482630400 is an abundant number, since it is smaller than the sum of its proper divisors (9719216932).

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

5482630400 is a wasteful number, since it uses less digits than its factorization.

5482630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 5482630400 is about 74044.7864471227. The cubic root of 5482630400 is about 1763.3140038912.

The spelling of 5482630400 in words is "five billion, four hundred eighty-two million, six hundred thirty thousand, four hundred".