1488416400 has 135 divisors (see below), whose sum is σ = 5173263849. Its totient is φ = 396293760.

The previous prime is 1488416359. The next prime is 1488416401. The reversal of 1488416400 is 46148841.

The square root of 1488416400 is 38580.

It is a perfect power (a square), and thus also a powerful number.

1488416400 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 4 + 1 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 535829904 + 952586496 = 23148^2 + 30864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1488416401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2314479 + ... + 2315121.

Almost surely, 2^1488416400 is an apocalyptic number.

1488416400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1488416400 is the 38580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1488416400

1488416400 is an abundant number, since it is smaller than the sum of its proper divisors (3684847449).

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

1488416400 is an equidigital number, since it uses as much as digits as its factorization.

1488416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The cubic root of 1488416400 is about 1141.7599776918.

Multiplying 1488416400 by its sum of digits (36), we get a square (53582990400 = 231480²).

1488416400 divided by its sum of digits (36) gives a square (41344900 = 6430²).

The spelling of 1488416400 in words is "one billion, four hundred eighty-eight million, four hundred sixteen thousand, four hundred".