15480400 has 90 divisors (see below), whose sum is σ = 40448490. Its totient is φ = 5690880.

The previous prime is 15480379. The next prime is 15480407. The reversal of 15480400 is 408451.

It can be written as a sum of positive squares in 9 ways, for example, as 5895184 + 9585216 = 2428^2 + 3096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15480407) 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, 67486 + ... + 67714.

Almost surely, 2^15480400 is an apocalyptic number.

15480400 is a gapful number since it is divisible by the number (10) 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 15480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224245).

15480400 is an abundant number, since it is smaller than the sum of its proper divisors (24968090).

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

15480400 is a wasteful number, since it uses less digits than its factorization.

15480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 15480400 is about 3934.5139471096. The cubic root of 15480400 is about 249.2264086950.

Adding to 15480400 its reverse (408451), we get a palindrome (15888851).

The spelling of 15480400 in words is "fifteen million, four hundred eighty thousand, four hundred".